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Finding the Fourth Proportional to 31,523.60, 47,284.80 and 8,149.52

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Solution

The fourth proportional to 31,523.60, 47,284.80 and 8,149.52 is: 12,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.60 : 47,284.80 = 8,149.52 : x
  2. Step 2: Convert to fraction form
    31,523.60/47,284.80 = 8,149.52/x
  3. Step 3: Cross multiply
    31,523.60x = 47,284.80 × 8,149.52
  4. Step 4: Simplify right side
    31,523.60x = 385,348,423.30
  5. Step 5: Solve for x
    x = 385,348,423.30/31,523.60
  6. Step 6: Final answer
    x = 12,224.12

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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.