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Finding the Fourth Proportional to 68,118.52, 102,044.92 and 38,446.60

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Solution

The fourth proportional to 68,118.52, 102,044.92 and 38,446.60 is: 57,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,118.52 : 102,044.92 = 38,446.60 : x
  2. Step 2: Convert to fraction form
    68,118.52/102,044.92 = 38,446.60/x
  3. Step 3: Cross multiply
    68,118.52x = 102,044.92 × 38,446.60
  4. Step 4: Simplify right side
    68,118.52x = 3,923,280,221.27
  5. Step 5: Solve for x
    x = 3,923,280,221.27/68,118.52
  6. Step 6: Final answer
    x = 57,594.91

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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.