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Finding the Fourth Proportional to 71,126.16, 106,753.68 and 37,874.40

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Solution

The fourth proportional to 71,126.16, 106,753.68 and 37,874.40 is: 56,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,126.16 : 106,753.68 = 37,874.40 : x
  2. Step 2: Convert to fraction form
    71,126.16/106,753.68 = 37,874.40/x
  3. Step 3: Cross multiply
    71,126.16x = 106,753.68 × 37,874.40
  4. Step 4: Simplify right side
    71,126.16x = 4,043,231,577.79
  5. Step 5: Solve for x
    x = 4,043,231,577.79/71,126.16
  6. Step 6: Final answer
    x = 56,845.91

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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.