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Finding the Fourth Proportional to 71,773.50, 107,671.14 and 36,701.28

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Solution

The fourth proportional to 71,773.50, 107,671.14 and 36,701.28 is: 55,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.50 : 107,671.14 = 36,701.28 : x
  2. Step 2: Convert to fraction form
    71,773.50/107,671.14 = 36,701.28/x
  3. Step 3: Cross multiply
    71,773.50x = 107,671.14 × 36,701.28
  4. Step 4: Simplify right side
    71,773.50x = 3,951,668,657.06
  5. Step 5: Solve for x
    x = 3,951,668,657.06/71,773.50
  6. Step 6: Final answer
    x = 55,057.49

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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.