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Finding the Fourth Proportional to 27,619.28, 38,115.24 and 15,044.24

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Solution

The fourth proportional to 27,619.28, 38,115.24 and 15,044.24 is: 20,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,619.28 : 38,115.24 = 15,044.24 : x
  2. Step 2: Convert to fraction form
    27,619.28/38,115.24 = 15,044.24/x
  3. Step 3: Cross multiply
    27,619.28x = 38,115.24 × 15,044.24
  4. Step 4: Simplify right side
    27,619.28x = 573,414,818.22
  5. Step 5: Solve for x
    x = 573,414,818.22/27,619.28
  6. Step 6: Final answer
    x = 20,761.40

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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.