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Finding the Fourth Proportional to 31,847.52, 47,771.20 and 8,473.96

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Solution

The fourth proportional to 31,847.52, 47,771.20 and 8,473.96 is: 12,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.52 : 47,771.20 = 8,473.96 : x
  2. Step 2: Convert to fraction form
    31,847.52/47,771.20 = 8,473.96/x
  3. Step 3: Cross multiply
    31,847.52x = 47,771.20 × 8,473.96
  4. Step 4: Simplify right side
    31,847.52x = 404,811,237.95
  5. Step 5: Solve for x
    x = 404,811,237.95/31,847.52
  6. Step 6: Final answer
    x = 12,710.92

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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.