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Finding the Fourth Proportional to 106,332.62, 159,498.94 and 31,446.94

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Solution

The fourth proportional to 106,332.62, 159,498.94 and 31,446.94 is: 47,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,332.62 : 159,498.94 = 31,446.94 : x
  2. Step 2: Convert to fraction form
    106,332.62/159,498.94 = 31,446.94/x
  3. Step 3: Cross multiply
    106,332.62x = 159,498.94 × 31,446.94
  4. Step 4: Simplify right side
    106,332.62x = 5,015,753,456.38
  5. Step 5: Solve for x
    x = 5,015,753,456.38/106,332.62
  6. Step 6: Final answer
    x = 47,170.41

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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.