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Finding the Fourth Proportional to 27,617.53, 38,112.18 and 15,042.28

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Solution

The fourth proportional to 27,617.53, 38,112.18 and 15,042.28 is: 20,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.53 : 38,112.18 = 15,042.28 : x
  2. Step 2: Convert to fraction form
    27,617.53/38,112.18 = 15,042.28/x
  3. Step 3: Cross multiply
    27,617.53x = 38,112.18 × 15,042.28
  4. Step 4: Simplify right side
    27,617.53x = 573,294,082.97
  5. Step 5: Solve for x
    x = 573,294,082.97/27,617.53
  6. Step 6: Final answer
    x = 20,758.34

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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.