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Finding the Fourth Proportional to 31,538.84, 43,523.34 and 17,391.20

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Solution

The fourth proportional to 31,538.84, 43,523.34 and 17,391.20 is: 23,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.84 : 43,523.34 = 17,391.20 : x
  2. Step 2: Convert to fraction form
    31,538.84/43,523.34 = 17,391.20/x
  3. Step 3: Cross multiply
    31,538.84x = 43,523.34 × 17,391.20
  4. Step 4: Simplify right side
    31,538.84x = 756,923,110.61
  5. Step 5: Solve for x
    x = 756,923,110.61/31,538.84
  6. Step 6: Final answer
    x = 23,999.71

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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.