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Finding the Fourth Proportional to 31,842.20, 47,763.24 and 8,468.66

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Solution

The fourth proportional to 31,842.20, 47,763.24 and 8,468.66 is: 12,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.20 : 47,763.24 = 8,468.66 : x
  2. Step 2: Convert to fraction form
    31,842.20/47,763.24 = 8,468.66/x
  3. Step 3: Cross multiply
    31,842.20x = 47,763.24 × 8,468.66
  4. Step 4: Simplify right side
    31,842.20x = 404,490,640.06
  5. Step 5: Solve for x
    x = 404,490,640.06/31,842.20
  6. Step 6: Final answer
    x = 12,702.97

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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.