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Finding the Fourth Proportional to 27,448.92, 41,170.68 and 7,727.04

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Solution

The fourth proportional to 27,448.92, 41,170.68 and 7,727.04 is: 11,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448.92 : 41,170.68 = 7,727.04 : x
  2. Step 2: Convert to fraction form
    27,448.92/41,170.68 = 7,727.04/x
  3. Step 3: Cross multiply
    27,448.92x = 41,170.68 × 7,727.04
  4. Step 4: Simplify right side
    27,448.92x = 318,127,491.19
  5. Step 5: Solve for x
    x = 318,127,491.19/27,448.92
  6. Step 6: Final answer
    x = 11,589.80

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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.