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Finding the Fourth Proportional to 123,988.50, 185,982.84 and 40,882.50

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Solution

The fourth proportional to 123,988.50, 185,982.84 and 40,882.50 is: 61,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,988.50 : 185,982.84 = 40,882.50 : x
  2. Step 2: Convert to fraction form
    123,988.50/185,982.84 = 40,882.50/x
  3. Step 3: Cross multiply
    123,988.50x = 185,982.84 × 40,882.50
  4. Step 4: Simplify right side
    123,988.50x = 7,603,443,456.30
  5. Step 5: Solve for x
    x = 7,603,443,456.30/123,988.50
  6. Step 6: Final answer
    x = 61,323.78

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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.