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Finding the Fourth Proportional to 31,446.43, 47,171.01 and 10,387.74

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Solution

The fourth proportional to 31,446.43, 47,171.01 and 10,387.74 is: 15,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.43 : 47,171.01 = 10,387.74 : x
  2. Step 2: Convert to fraction form
    31,446.43/47,171.01 = 10,387.74/x
  3. Step 3: Cross multiply
    31,446.43x = 47,171.01 × 10,387.74
  4. Step 4: Simplify right side
    31,446.43x = 490,000,344.83
  5. Step 5: Solve for x
    x = 490,000,344.83/31,446.43
  6. Step 6: Final answer
    x = 15,582.07

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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.