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Finding the Fourth Proportional to 57,648.52, 86,397.38 and 29,544.76

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Solution

The fourth proportional to 57,648.52, 86,397.38 and 29,544.76 is: 44,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648.52 : 86,397.38 = 29,544.76 : x
  2. Step 2: Convert to fraction form
    57,648.52/86,397.38 = 29,544.76/x
  3. Step 3: Cross multiply
    57,648.52x = 86,397.38 × 29,544.76
  4. Step 4: Simplify right side
    57,648.52x = 2,552,589,856.73
  5. Step 5: Solve for x
    x = 2,552,589,856.73/57,648.52
  6. Step 6: Final answer
    x = 44,278.50

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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.