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Finding the Fourth Proportional to 31,538.85, 43,523.90 and 18,109.90

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Solution

The fourth proportional to 31,538.85, 43,523.90 and 18,109.90 is: 24,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.85 : 43,523.90 = 18,109.90 : x
  2. Step 2: Convert to fraction form
    31,538.85/43,523.90 = 18,109.90/x
  3. Step 3: Cross multiply
    31,538.85x = 43,523.90 × 18,109.90
  4. Step 4: Simplify right side
    31,538.85x = 788,213,476.61
  5. Step 5: Solve for x
    x = 788,213,476.61/31,538.85
  6. Step 6: Final answer
    x = 24,991.83

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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.