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Finding the Fourth Proportional to 57,646.52, 86,394.38 and 29,542.76

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Solution

The fourth proportional to 57,646.52, 86,394.38 and 29,542.76 is: 44,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646.52 : 86,394.38 = 29,542.76 : x
  2. Step 2: Convert to fraction form
    57,646.52/86,394.38 = 29,542.76/x
  3. Step 3: Cross multiply
    57,646.52x = 86,394.38 × 29,542.76
  4. Step 4: Simplify right side
    57,646.52x = 2,552,328,433.69
  5. Step 5: Solve for x
    x = 2,552,328,433.69/57,646.52
  6. Step 6: Final answer
    x = 44,275.50

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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.