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Finding the Fourth Proportional to 31,073.31, 42,882.21 and 17,644.11

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Solution

The fourth proportional to 31,073.31, 42,882.21 and 17,644.11 is: 24,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.31 : 42,882.21 = 17,644.11 : x
  2. Step 2: Convert to fraction form
    31,073.31/42,882.21 = 17,644.11/x
  3. Step 3: Cross multiply
    31,073.31x = 42,882.21 × 17,644.11
  4. Step 4: Simplify right side
    31,073.31x = 756,618,430.28
  5. Step 5: Solve for x
    x = 756,618,430.28/31,073.31
  6. Step 6: Final answer
    x = 24,349.46

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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.