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Finding the Fourth Proportional to 39,691.52, 59,491.92 and 16,289

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Solution

The fourth proportional to 39,691.52, 59,491.92 and 16,289 is: 24,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,691.52 : 59,491.92 = 16,289 : x
  2. Step 2: Convert to fraction form
    39,691.52/59,491.92 = 16,289/x
  3. Step 3: Cross multiply
    39,691.52x = 59,491.92 × 16,289
  4. Step 4: Simplify right side
    39,691.52x = 969,063,884.88
  5. Step 5: Solve for x
    x = 969,063,884.88/39,691.52
  6. Step 6: Final answer
    x = 24,414.88

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Why These Related Problems?

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