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Finding the Fourth Proportional to 31,543.87, 47,308.51 and 9,351.90

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Solution

The fourth proportional to 31,543.87, 47,308.51 and 9,351.90 is: 14,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.87 : 47,308.51 = 9,351.90 : x
  2. Step 2: Convert to fraction form
    31,543.87/47,308.51 = 9,351.90/x
  3. Step 3: Cross multiply
    31,543.87x = 47,308.51 × 9,351.90
  4. Step 4: Simplify right side
    31,543.87x = 442,424,454.67
  5. Step 5: Solve for x
    x = 442,424,454.67/31,543.87
  6. Step 6: Final answer
    x = 14,025.69

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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.