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Finding the Fourth Proportional to 31,470.14, 43,428.96 and 18,042.20

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Solution

The fourth proportional to 31,470.14, 43,428.96 and 18,042.20 is: 24,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.14 : 43,428.96 = 18,042.20 : x
  2. Step 2: Convert to fraction form
    31,470.14/43,428.96 = 18,042.20/x
  3. Step 3: Cross multiply
    31,470.14x = 43,428.96 × 18,042.20
  4. Step 4: Simplify right side
    31,470.14x = 783,553,982.11
  5. Step 5: Solve for x
    x = 783,553,982.11/31,470.14
  6. Step 6: Final answer
    x = 24,898.33

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