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Finding the Fourth Proportional to 31,924.40, 47,886.60 and 8,231.90

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Solution

The fourth proportional to 31,924.40, 47,886.60 and 8,231.90 is: 12,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.40 : 47,886.60 = 8,231.90 : x
  2. Step 2: Convert to fraction form
    31,924.40/47,886.60 = 8,231.90/x
  3. Step 3: Cross multiply
    31,924.40x = 47,886.60 × 8,231.90
  4. Step 4: Simplify right side
    31,924.40x = 394,197,702.54
  5. Step 5: Solve for x
    x = 394,197,702.54/31,924.40
  6. Step 6: Final answer
    x = 12,347.85

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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.