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Finding the Fourth Proportional to 31,882.50, 43,996.95 and 17,735.82

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Solution

The fourth proportional to 31,882.50, 43,996.95 and 17,735.82 is: 24,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.50 : 43,996.95 = 17,735.82 : x
  2. Step 2: Convert to fraction form
    31,882.50/43,996.95 = 17,735.82/x
  3. Step 3: Cross multiply
    31,882.50x = 43,996.95 × 17,735.82
  4. Step 4: Simplify right side
    31,882.50x = 780,321,985.75
  5. Step 5: Solve for x
    x = 780,321,985.75/31,882.50
  6. Step 6: Final answer
    x = 24,474.93

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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.