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Finding the Fourth Proportional to 57,419.52, 86,134.20 and 15,866.52

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Solution

The fourth proportional to 57,419.52, 86,134.20 and 15,866.52 is: 23,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,419.52 : 86,134.20 = 15,866.52 : x
  2. Step 2: Convert to fraction form
    57,419.52/86,134.20 = 15,866.52/x
  3. Step 3: Cross multiply
    57,419.52x = 86,134.20 × 15,866.52
  4. Step 4: Simplify right side
    57,419.52x = 1,366,650,006.98
  5. Step 5: Solve for x
    x = 1,366,650,006.98/57,419.52
  6. Step 6: Final answer
    x = 23,801.14

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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.