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Finding the Fourth Proportional to 31,702.26, 47,549.78 and 8,330.52

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Solution

The fourth proportional to 31,702.26, 47,549.78 and 8,330.52 is: 12,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.26 : 47,549.78 = 8,330.52 : x
  2. Step 2: Convert to fraction form
    31,702.26/47,549.78 = 8,330.52/x
  3. Step 3: Cross multiply
    31,702.26x = 47,549.78 × 8,330.52
  4. Step 4: Simplify right side
    31,702.26x = 396,114,393.29
  5. Step 5: Solve for x
    x = 396,114,393.29/31,702.26
  6. Step 6: Final answer
    x = 12,494.83

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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.