Answer:
The number of girl dogs are 
Step-by-step explanation:
The animal shelter only houses cats and dogs.
The proportion of cats = 
Therefore, the proportion of dogs = 
And
of each animal type is a boy.
If there are 27 girl cats, that means 27 represents
of the cat population.
So we can now find the number of boy cats in the shelter,

=
=
=
So the total number of boy cats are 9.
Total number of cats = Number of girl cats + Number of Boy cats
= 
=
36 cats represents
proportion of the total animals.
Therefore, we can find the total number of dogs in the shelter,

=
=
=
=
So the total number of dogs are 56.
Out of this 56
of the dogs are girls.
Therefore,
The number of girl dogs = 
=