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Finding the Fourth Proportional to 31,286.25, 43,175.03 and 18,711

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Solution

The fourth proportional to 31,286.25, 43,175.03 and 18,711 is: 25,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 43,175.03 = 18,711 : x
  2. Step 2: Convert to fraction form
    31,286.25/43,175.03 = 18,711/x
  3. Step 3: Cross multiply
    31,286.25x = 43,175.03 × 18,711
  4. Step 4: Simplify right side
    31,286.25x = 807,847,892.78
  5. Step 5: Solve for x
    x = 807,847,892.78/31,286.25
  6. Step 6: Final answer
    x = 25,821.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.