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Finding the Fourth Proportional to 106,324.38, 159,517.76 and 31,446.50

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Solution

The fourth proportional to 106,324.38, 159,517.76 and 31,446.50 is: 47,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324.38 : 159,517.76 = 31,446.50 : x
  2. Step 2: Convert to fraction form
    106,324.38/159,517.76 = 31,446.50/x
  3. Step 3: Cross multiply
    106,324.38x = 159,517.76 × 31,446.50
  4. Step 4: Simplify right side
    106,324.38x = 5,016,274,285.02
  5. Step 5: Solve for x
    x = 5,016,274,285.02/106,324.38
  6. Step 6: Final answer
    x = 47,178.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.