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Finding the Fourth Proportional to 71,269.22, 106,872.24 and 37,983.08

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Solution

The fourth proportional to 71,269.22, 106,872.24 and 37,983.08 is: 56,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.22 : 106,872.24 = 37,983.08 : x
  2. Step 2: Convert to fraction form
    71,269.22/106,872.24 = 37,983.08/x
  3. Step 3: Cross multiply
    71,269.22x = 106,872.24 × 37,983.08
  4. Step 4: Simplify right side
    71,269.22x = 4,059,336,841.70
  5. Step 5: Solve for x
    x = 4,059,336,841.70/71,269.22
  6. Step 6: Final answer
    x = 56,957.78

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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.