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Finding the Fourth Proportional to 27,617.72, 38,111.82 and 15,042.20

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Solution

The fourth proportional to 27,617.72, 38,111.82 and 15,042.20 is: 20,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.72 : 38,111.82 = 15,042.20 : x
  2. Step 2: Convert to fraction form
    27,617.72/38,111.82 = 15,042.20/x
  3. Step 3: Cross multiply
    27,617.72x = 38,111.82 × 15,042.20
  4. Step 4: Simplify right side
    27,617.72x = 573,285,618.80
  5. Step 5: Solve for x
    x = 573,285,618.80/27,617.72
  6. Step 6: Final answer
    x = 20,757.89

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Why These Related Problems?

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