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Finding the Fourth Proportional to 123,428.54, 185,142.82 and 29,934.30

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Solution

The fourth proportional to 123,428.54, 185,142.82 and 29,934.30 is: 44,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.54 : 185,142.82 = 29,934.30 : x
  2. Step 2: Convert to fraction form
    123,428.54/185,142.82 = 29,934.30/x
  3. Step 3: Cross multiply
    123,428.54x = 185,142.82 × 29,934.30
  4. Step 4: Simplify right side
    123,428.54x = 5,542,120,716.73
  5. Step 5: Solve for x
    x = 5,542,120,716.73/123,428.54
  6. Step 6: Final answer
    x = 44,901.45

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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.