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Finding the Fourth Proportional to 31,521.60, 47,278.56 and 8,149.68

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Solution

The fourth proportional to 31,521.60, 47,278.56 and 8,149.68 is: 12,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521.60 : 47,278.56 = 8,149.68 : x
  2. Step 2: Convert to fraction form
    31,521.60/47,278.56 = 8,149.68/x
  3. Step 3: Cross multiply
    31,521.60x = 47,278.56 × 8,149.68
  4. Step 4: Simplify right side
    31,521.60x = 385,305,134.86
  5. Step 5: Solve for x
    x = 385,305,134.86/31,521.60
  6. Step 6: Final answer
    x = 12,223.53

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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.