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Finding the Fourth Proportional to 31,932.20, 47,906.04 and 9,745.96

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Solution

The fourth proportional to 31,932.20, 47,906.04 and 9,745.96 is: 14,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.20 : 47,906.04 = 9,745.96 : x
  2. Step 2: Convert to fraction form
    31,932.20/47,906.04 = 9,745.96/x
  3. Step 3: Cross multiply
    31,932.20x = 47,906.04 × 9,745.96
  4. Step 4: Simplify right side
    31,932.20x = 466,890,349.60
  5. Step 5: Solve for x
    x = 466,890,349.60/31,932.20
  6. Step 6: Final answer
    x = 14,621.30

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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.