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Finding the Fourth Proportional to 31,534.68, 43,524.16 and 18,115.14

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Solution

The fourth proportional to 31,534.68, 43,524.16 and 18,115.14 is: 25,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.68 : 43,524.16 = 18,115.14 : x
  2. Step 2: Convert to fraction form
    31,534.68/43,524.16 = 18,115.14/x
  3. Step 3: Cross multiply
    31,534.68x = 43,524.16 × 18,115.14
  4. Step 4: Simplify right side
    31,534.68x = 788,446,251.78
  5. Step 5: Solve for x
    x = 788,446,251.78/31,534.68
  6. Step 6: Final answer
    x = 25,002.51

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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.