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Finding the Fourth Proportional to 27,012.97, 37,243.25 and 22,149.78

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Solution

The fourth proportional to 27,012.97, 37,243.25 and 22,149.78 is: 30,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012.97 : 37,243.25 = 22,149.78 : x
  2. Step 2: Convert to fraction form
    27,012.97/37,243.25 = 22,149.78/x
  3. Step 3: Cross multiply
    27,012.97x = 37,243.25 × 22,149.78
  4. Step 4: Simplify right side
    27,012.97x = 824,929,773.83
  5. Step 5: Solve for x
    x = 824,929,773.83/27,012.97
  6. Step 6: Final answer
    x = 30,538.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.