The problem asks to identify ratios that are equivalent to $32:4$.

1. Problem Description

The problem asks to identify ratios that are equivalent to $32:4$.

2. Solution Steps

First, simplify the given ratio $32:4$. Dividing both parts of the ratio by 4 gives $8:1$.

Now, check each of the given ratios:

- $4:32$. This is not equivalent to $8:1$. It's the reverse and has been divided.

- $16:2$. Divide both parts by 2 to get $8:1$. Thus, $16:2$ is equivalent.

- $35:7$. Divide both parts by 7 to get $5:1$. Thus, $35:7$ is not equivalent.

- $8:1$. This is equivalent.

- $30:2$. Divide both parts by 2 to get $15:1$. Thus, $30:2$ is not equivalent.

The ratios that are equivalent to $32:4$ are $16:2$ and $8:1$.

3. Final Answer

$16:2$ and $8:1$