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Finding the Fourth Proportional to 71,295.35, 106,906.10 and 38,006.47

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Solution

The fourth proportional to 71,295.35, 106,906.10 and 38,006.47 is: 56,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.35 : 106,906.10 = 38,006.47 : x
  2. Step 2: Convert to fraction form
    71,295.35/106,906.10 = 38,006.47/x
  3. Step 3: Cross multiply
    71,295.35x = 106,906.10 × 38,006.47
  4. Step 4: Simplify right side
    71,295.35x = 4,063,123,310.22
  5. Step 5: Solve for x
    x = 4,063,123,310.22/71,295.35
  6. Step 6: Final answer
    x = 56,990.02

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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.