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Finding the Fourth Proportional to 27,049.38, 40,574.37 and 8,329.27

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Solution

The fourth proportional to 27,049.38, 40,574.37 and 8,329.27 is: 12,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.38 : 40,574.37 = 8,329.27 : x
  2. Step 2: Convert to fraction form
    27,049.38/40,574.37 = 8,329.27/x
  3. Step 3: Cross multiply
    27,049.38x = 40,574.37 × 8,329.27
  4. Step 4: Simplify right side
    27,049.38x = 337,954,679.94
  5. Step 5: Solve for x
    x = 337,954,679.94/27,049.38
  6. Step 6: Final answer
    x = 12,493.99

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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.