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Finding the Fourth Proportional to 29,231.33, 43,847.09 and 8,171.24

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Solution

The fourth proportional to 29,231.33, 43,847.09 and 8,171.24 is: 12,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,231.33 : 43,847.09 = 8,171.24 : x
  2. Step 2: Convert to fraction form
    29,231.33/43,847.09 = 8,171.24/x
  3. Step 3: Cross multiply
    29,231.33x = 43,847.09 × 8,171.24
  4. Step 4: Simplify right side
    29,231.33x = 358,284,896.88
  5. Step 5: Solve for x
    x = 358,284,896.88/29,231.33
  6. Step 6: Final answer
    x = 12,256.88

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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.