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Finding the Fourth Proportional to 31,523.52, 47,284.74 and 8,149.80

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Solution

The fourth proportional to 31,523.52, 47,284.74 and 8,149.80 is: 12,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.52 : 47,284.74 = 8,149.80 : x
  2. Step 2: Convert to fraction form
    31,523.52/47,284.74 = 8,149.80/x
  3. Step 3: Cross multiply
    31,523.52x = 47,284.74 × 8,149.80
  4. Step 4: Simplify right side
    31,523.52x = 385,361,174.05
  5. Step 5: Solve for x
    x = 385,361,174.05/31,523.52
  6. Step 6: Final answer
    x = 12,224.56

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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.