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Finding the Fourth Proportional to 74,311.57, 111,471 and 29,932.33

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Solution

The fourth proportional to 74,311.57, 111,471 and 29,932.33 is: 44,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,311.57 : 111,471 = 29,932.33 : x
  2. Step 2: Convert to fraction form
    74,311.57/111,471 = 29,932.33/x
  3. Step 3: Cross multiply
    74,311.57x = 111,471 × 29,932.33
  4. Step 4: Simplify right side
    74,311.57x = 3,336,586,757.43
  5. Step 5: Solve for x
    x = 3,336,586,757.43/74,311.57
  6. Step 6: Final answer
    x = 44,899.96

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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.