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Finding the Fourth Proportional to 31,657.20, 47,489.04 and 10,878

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Solution

The fourth proportional to 31,657.20, 47,489.04 and 10,878 is: 16,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.20 : 47,489.04 = 10,878 : x
  2. Step 2: Convert to fraction form
    31,657.20/47,489.04 = 10,878/x
  3. Step 3: Cross multiply
    31,657.20x = 47,489.04 × 10,878
  4. Step 4: Simplify right side
    31,657.20x = 516,585,777.12
  5. Step 5: Solve for x
    x = 516,585,777.12/31,657.20
  6. Step 6: Final answer
    x = 16,318.11

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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.