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Finding the Fourth Proportional to 71,974.92, 107,958.49 and 22,055.17

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Solution

The fourth proportional to 71,974.92, 107,958.49 and 22,055.17 is: 33,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,974.92 : 107,958.49 = 22,055.17 : x
  2. Step 2: Convert to fraction form
    71,974.92/107,958.49 = 22,055.17/x
  3. Step 3: Cross multiply
    71,974.92x = 107,958.49 × 22,055.17
  4. Step 4: Simplify right side
    71,974.92x = 2,381,042,849.89
  5. Step 5: Solve for x
    x = 2,381,042,849.89/71,974.92
  6. Step 6: Final answer
    x = 33,081.56

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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.