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Finding the Fourth Proportional to 29,293.52, 43,942.68 and 8,517

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Solution

The fourth proportional to 29,293.52, 43,942.68 and 8,517 is: 12,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,293.52 : 43,942.68 = 8,517 : x
  2. Step 2: Convert to fraction form
    29,293.52/43,942.68 = 8,517/x
  3. Step 3: Cross multiply
    29,293.52x = 43,942.68 × 8,517
  4. Step 4: Simplify right side
    29,293.52x = 374,259,805.56
  5. Step 5: Solve for x
    x = 374,259,805.56/29,293.52
  6. Step 6: Final answer
    x = 12,776.20

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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.