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Finding the Fourth Proportional to 57,714.60, 86,560.97 and 20,265.87

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Solution

The fourth proportional to 57,714.60, 86,560.97 and 20,265.87 is: 30,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.60 : 86,560.97 = 20,265.87 : x
  2. Step 2: Convert to fraction form
    57,714.60/86,560.97 = 20,265.87/x
  3. Step 3: Cross multiply
    57,714.60x = 86,560.97 × 20,265.87
  4. Step 4: Simplify right side
    57,714.60x = 1,754,233,263.76
  5. Step 5: Solve for x
    x = 1,754,233,263.76/57,714.60
  6. Step 6: Final answer
    x = 30,394.97

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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.