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Finding the Fourth Proportional to 31,758.89, 47,634.68 and 8,387.15

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Solution

The fourth proportional to 31,758.89, 47,634.68 and 8,387.15 is: 12,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.89 : 47,634.68 = 8,387.15 : x
  2. Step 2: Convert to fraction form
    31,758.89/47,634.68 = 8,387.15/x
  3. Step 3: Cross multiply
    31,758.89x = 47,634.68 × 8,387.15
  4. Step 4: Simplify right side
    31,758.89x = 399,518,989.16
  5. Step 5: Solve for x
    x = 399,518,989.16/31,758.89
  6. Step 6: Final answer
    x = 12,579.75

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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.