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Finding the Fourth Proportional to 31,625.40, 47,437.92 and 8,251.80

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Solution

The fourth proportional to 31,625.40, 47,437.92 and 8,251.80 is: 12,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.40 : 47,437.92 = 8,251.80 : x
  2. Step 2: Convert to fraction form
    31,625.40/47,437.92 = 8,251.80/x
  3. Step 3: Cross multiply
    31,625.40x = 47,437.92 × 8,251.80
  4. Step 4: Simplify right side
    31,625.40x = 391,448,228.26
  5. Step 5: Solve for x
    x = 391,448,228.26/31,625.40
  6. Step 6: Final answer
    x = 12,377.65

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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.