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Finding the Fourth Proportional to 31,167.99, 43,006.14 and 17,738.46

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Solution

The fourth proportional to 31,167.99, 43,006.14 and 17,738.46 is: 24,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.99 : 43,006.14 = 17,738.46 : x
  2. Step 2: Convert to fraction form
    31,167.99/43,006.14 = 17,738.46/x
  3. Step 3: Cross multiply
    31,167.99x = 43,006.14 × 17,738.46
  4. Step 4: Simplify right side
    31,167.99x = 762,862,694.14
  5. Step 5: Solve for x
    x = 762,862,694.14/31,167.99
  6. Step 6: Final answer
    x = 24,475.84

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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.