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Finding the Fourth Proportional to 31,456.11, 47,116.11 and 14,791.17

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Solution

The fourth proportional to 31,456.11, 47,116.11 and 14,791.17 is: 22,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.11 : 47,116.11 = 14,791.17 : x
  2. Step 2: Convert to fraction form
    31,456.11/47,116.11 = 14,791.17/x
  3. Step 3: Cross multiply
    31,456.11x = 47,116.11 × 14,791.17
  4. Step 4: Simplify right side
    31,456.11x = 696,902,392.75
  5. Step 5: Solve for x
    x = 696,902,392.75/31,456.11
  6. Step 6: Final answer
    x = 22,154.75

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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.