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Finding the Fourth Proportional to 57,668.16, 79,585.20 and 32,180.16

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Solution

The fourth proportional to 57,668.16, 79,585.20 and 32,180.16 is: 44,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,668.16 : 79,585.20 = 32,180.16 : x
  2. Step 2: Convert to fraction form
    57,668.16/79,585.20 = 32,180.16/x
  3. Step 3: Cross multiply
    57,668.16x = 79,585.20 × 32,180.16
  4. Step 4: Simplify right side
    57,668.16x = 2,561,064,469.63
  5. Step 5: Solve for x
    x = 2,561,064,469.63/57,668.16
  6. Step 6: Final answer
    x = 44,410.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.