Respuesta :

Given,

[tex]\frac{4}{9}\text{ and }\frac{14}{19}[/tex]

It is the simplest form.

So, option a is not proportional.

b)

[tex]\frac{27}{81}=\frac{21}{72}[/tex]

The simplest form of the expression is,

[tex]\frac{3}{9}=\frac{7}{24}[/tex]

The simplest form is not equal

So, option b is not proportional.

c)

[tex]\frac{30}{36}=\frac{40}{46}[/tex]

The simplest form of the expression is,

[tex]\frac{5}{6}=\frac{20}{23}[/tex]

The simplest form is not equal

So, option c is not proportional.

d)

[tex]\frac{40}{48}=\frac{100}{120}[/tex]

The simplest form of the expression is,

[tex]\frac{20}{24}=\frac{20}{24}[/tex]

The simplest form is equal

So, option d is proportional.

Hence, the correct option is (d).