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Finding the Fourth Proportional to 27,674.87, 41,540.56 and 20,257.30

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Solution

The fourth proportional to 27,674.87, 41,540.56 and 20,257.30 is: 30,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.87 : 41,540.56 = 20,257.30 : x
  2. Step 2: Convert to fraction form
    27,674.87/41,540.56 = 20,257.30/x
  3. Step 3: Cross multiply
    27,674.87x = 41,540.56 × 20,257.30
  4. Step 4: Simplify right side
    27,674.87x = 841,499,431.59
  5. Step 5: Solve for x
    x = 841,499,431.59/27,674.87
  6. Step 6: Final answer
    x = 30,406.62

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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.