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Finding the Fourth Proportional to 57,136.32, 85,669.92 and 38,612.16

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Solution

The fourth proportional to 57,136.32, 85,669.92 and 38,612.16 is: 57,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.32 : 85,669.92 = 38,612.16 : x
  2. Step 2: Convert to fraction form
    57,136.32/85,669.92 = 38,612.16/x
  3. Step 3: Cross multiply
    57,136.32x = 85,669.92 × 38,612.16
  4. Step 4: Simplify right side
    57,136.32x = 3,307,900,658.23
  5. Step 5: Solve for x
    x = 3,307,900,658.23/57,136.32
  6. Step 6: Final answer
    x = 57,894.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.