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Finding the Fourth Proportional to 82,471.96, 123,773.52 and 29,896.48

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Solution

The fourth proportional to 82,471.96, 123,773.52 and 29,896.48 is: 44,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.96 : 123,773.52 = 29,896.48 : x
  2. Step 2: Convert to fraction form
    82,471.96/123,773.52 = 29,896.48/x
  3. Step 3: Cross multiply
    82,471.96x = 123,773.52 × 29,896.48
  4. Step 4: Simplify right side
    82,471.96x = 3,700,392,565.21
  5. Step 5: Solve for x
    x = 3,700,392,565.21/82,471.96
  6. Step 6: Final answer
    x = 44,868.49

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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.