With 45000 rank in KEAM, you can get into private colleges by state merit. According to previous year's data, here are some colleges that you can get based on your rank for general category :

• Rajadhani Institute of Engineering and Technology, Attingal
  
• Toc H Institute of Science and Technology, Mulamthurruthy
  
• Vidya Academy of Science and Technology, Thrissur
  
• Sarabhai Institute, Vellanad
  
• ACE College
  

It's also possible for you to get into some Government-controlled colleges like :

• College of Engineering, Perumon
  
• College of Engineering, Kallooppara
  
• College of Engineering, Munnar
  

Since there is a vacancy in most engineering colleges, maybe you'll get your desired college due to lack of admissions. All government colleges are out of reach for you, but you have limited options in Govt controlled and self-financing colleges.