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Finding the Fourth Proportional to 31,432.70, 47,131.19 and 10,367

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Solution

The fourth proportional to 31,432.70, 47,131.19 and 10,367 is: 15,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.70 : 47,131.19 = 10,367 : x
  2. Step 2: Convert to fraction form
    31,432.70/47,131.19 = 10,367/x
  3. Step 3: Cross multiply
    31,432.70x = 47,131.19 × 10,367
  4. Step 4: Simplify right side
    31,432.70x = 488,609,046.73
  5. Step 5: Solve for x
    x = 488,609,046.73/31,432.70
  6. Step 6: Final answer
    x = 15,544.61

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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.