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Finding the Fourth Proportional to 73,864.96, 101,881.92 and 49,981.12

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Solution

The fourth proportional to 73,864.96, 101,881.92 and 49,981.12 is: 68,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,864.96 : 101,881.92 = 49,981.12 : x
  2. Step 2: Convert to fraction form
    73,864.96/101,881.92 = 49,981.12/x
  3. Step 3: Cross multiply
    73,864.96x = 101,881.92 × 49,981.12
  4. Step 4: Simplify right side
    73,864.96x = 5,092,172,469.35
  5. Step 5: Solve for x
    x = 5,092,172,469.35/73,864.96
  6. Step 6: Final answer
    x = 68,938.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.