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Finding the Fourth Proportional to 82,324.30, 123,450 and 29,734.24

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Solution

The fourth proportional to 82,324.30, 123,450 and 29,734.24 is: 44,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.30 : 123,450 = 29,734.24 : x
  2. Step 2: Convert to fraction form
    82,324.30/123,450 = 29,734.24/x
  3. Step 3: Cross multiply
    82,324.30x = 123,450 × 29,734.24
  4. Step 4: Simplify right side
    82,324.30x = 3,670,691,928
  5. Step 5: Solve for x
    x = 3,670,691,928/82,324.30
  6. Step 6: Final answer
    x = 44,588.19

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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.