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Finding the Fourth Proportional to 27,767.13, 41,649.42 and 8,045.25

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Solution

The fourth proportional to 27,767.13, 41,649.42 and 8,045.25 is: 12,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.13 : 41,649.42 = 8,045.25 : x
  2. Step 2: Convert to fraction form
    27,767.13/41,649.42 = 8,045.25/x
  3. Step 3: Cross multiply
    27,767.13x = 41,649.42 × 8,045.25
  4. Step 4: Simplify right side
    27,767.13x = 335,079,996.26
  5. Step 5: Solve for x
    x = 335,079,996.26/27,767.13
  6. Step 6: Final answer
    x = 12,067.51

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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.