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Finding the Fourth Proportional to 71,126.53, 106,705.20 and 37,841.78

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Solution

The fourth proportional to 71,126.53, 106,705.20 and 37,841.78 is: 56,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,126.53 : 106,705.20 = 37,841.78 : x
  2. Step 2: Convert to fraction form
    71,126.53/106,705.20 = 37,841.78/x
  3. Step 3: Cross multiply
    71,126.53x = 106,705.20 × 37,841.78
  4. Step 4: Simplify right side
    71,126.53x = 4,037,914,703.26
  5. Step 5: Solve for x
    x = 4,037,914,703.26/71,126.53
  6. Step 6: Final answer
    x = 56,770.87

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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.