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Finding the Fourth Proportional to 31,702.60, 47,550.30 and 8,331.40

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Solution

The fourth proportional to 31,702.60, 47,550.30 and 8,331.40 is: 12,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.60 : 47,550.30 = 8,331.40 : x
  2. Step 2: Convert to fraction form
    31,702.60/47,550.30 = 8,331.40/x
  3. Step 3: Cross multiply
    31,702.60x = 47,550.30 × 8,331.40
  4. Step 4: Simplify right side
    31,702.60x = 396,160,569.42
  5. Step 5: Solve for x
    x = 396,160,569.42/31,702.60
  6. Step 6: Final answer
    x = 12,496.15

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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.