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Finding the Fourth Proportional to 31,839.11, 47,693.03 and 18,651.50

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Solution

The fourth proportional to 31,839.11, 47,693.03 and 18,651.50 is: 27,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.11 : 47,693.03 = 18,651.50 : x
  2. Step 2: Convert to fraction form
    31,839.11/47,693.03 = 18,651.50/x
  3. Step 3: Cross multiply
    31,839.11x = 47,693.03 × 18,651.50
  4. Step 4: Simplify right side
    31,839.11x = 889,546,217.32
  5. Step 5: Solve for x
    x = 889,546,217.32/31,839.11
  6. Step 6: Final answer
    x = 27,938.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.