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Finding the Fourth Proportional to 31,482.68, 47,229.90 and 10,422.92

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Solution

The fourth proportional to 31,482.68, 47,229.90 and 10,422.92 is: 15,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.68 : 47,229.90 = 10,422.92 : x
  2. Step 2: Convert to fraction form
    31,482.68/47,229.90 = 10,422.92/x
  3. Step 3: Cross multiply
    31,482.68x = 47,229.90 × 10,422.92
  4. Step 4: Simplify right side
    31,482.68x = 492,273,469.31
  5. Step 5: Solve for x
    x = 492,273,469.31/31,482.68
  6. Step 6: Final answer
    x = 15,636.33

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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.