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Finding the Fourth Proportional to 31,620, 43,631.82 and 17,470.92

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Solution

The fourth proportional to 31,620, 43,631.82 and 17,470.92 is: 24,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620 : 43,631.82 = 17,470.92 : x
  2. Step 2: Convert to fraction form
    31,620/43,631.82 = 17,470.92/x
  3. Step 3: Cross multiply
    31,620x = 43,631.82 × 17,470.92
  4. Step 4: Simplify right side
    31,620x = 762,288,036.67
  5. Step 5: Solve for x
    x = 762,288,036.67/31,620
  6. Step 6: Final answer
    x = 24,107.78

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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.