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Finding the Fourth Proportional to 82,178.52, 123,193.77 and 29,551

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Solution

The fourth proportional to 82,178.52, 123,193.77 and 29,551 is: 44,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.52 : 123,193.77 = 29,551 : x
  2. Step 2: Convert to fraction form
    82,178.52/123,193.77 = 29,551/x
  3. Step 3: Cross multiply
    82,178.52x = 123,193.77 × 29,551
  4. Step 4: Simplify right side
    82,178.52x = 3,640,499,097.27
  5. Step 5: Solve for x
    x = 3,640,499,097.27/82,178.52
  6. Step 6: Final answer
    x = 44,299.89

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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.