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Finding the Fourth Proportional to 83,901.68, 125,849.55 and 36,516.68

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Solution

The fourth proportional to 83,901.68, 125,849.55 and 36,516.68 is: 54,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901.68 : 125,849.55 = 36,516.68 : x
  2. Step 2: Convert to fraction form
    83,901.68/125,849.55 = 36,516.68/x
  3. Step 3: Cross multiply
    83,901.68x = 125,849.55 × 36,516.68
  4. Step 4: Simplify right side
    83,901.68x = 4,595,607,745.49
  5. Step 5: Solve for x
    x = 4,595,607,745.49/83,901.68
  6. Step 6: Final answer
    x = 54,773.73

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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.