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Finding the Fourth Proportional to 71,750.98, 107,560.04 and 31,748.76

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Solution

The fourth proportional to 71,750.98, 107,560.04 and 31,748.76 is: 47,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750.98 : 107,560.04 = 31,748.76 : x
  2. Step 2: Convert to fraction form
    71,750.98/107,560.04 = 31,748.76/x
  3. Step 3: Cross multiply
    71,750.98x = 107,560.04 × 31,748.76
  4. Step 4: Simplify right side
    71,750.98x = 3,414,897,736.81
  5. Step 5: Solve for x
    x = 3,414,897,736.81/71,750.98
  6. Step 6: Final answer
    x = 47,593.74

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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.