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Finding the Fourth Proportional to 83,257.52, 124,863.48 and 38,840.24

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Solution

The fourth proportional to 83,257.52, 124,863.48 and 38,840.24 is: 58,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.52 : 124,863.48 = 38,840.24 : x
  2. Step 2: Convert to fraction form
    83,257.52/124,863.48 = 38,840.24/x
  3. Step 3: Cross multiply
    83,257.52x = 124,863.48 × 38,840.24
  4. Step 4: Simplify right side
    83,257.52x = 4,849,727,530.44
  5. Step 5: Solve for x
    x = 4,849,727,530.44/83,257.52
  6. Step 6: Final answer
    x = 58,249.72

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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.