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Finding the Fourth Proportional to 31,454.87, 47,148.19 and 15,671.68

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Solution

The fourth proportional to 31,454.87, 47,148.19 and 15,671.68 is: 23,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454.87 : 47,148.19 = 15,671.68 : x
  2. Step 2: Convert to fraction form
    31,454.87/47,148.19 = 15,671.68/x
  3. Step 3: Cross multiply
    31,454.87x = 47,148.19 × 15,671.68
  4. Step 4: Simplify right side
    31,454.87x = 738,891,211.25
  5. Step 5: Solve for x
    x = 738,891,211.25/31,454.87
  6. Step 6: Final answer
    x = 23,490.52

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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.