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Finding the Fourth Proportional to 27,879, 38,473.12 and 15,132.18

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Solution

The fourth proportional to 27,879, 38,473.12 and 15,132.18 is: 20,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 38,473.12 = 15,132.18 : x
  2. Step 2: Convert to fraction form
    27,879/38,473.12 = 15,132.18/x
  3. Step 3: Cross multiply
    27,879x = 38,473.12 × 15,132.18
  4. Step 4: Simplify right side
    27,879x = 582,182,177.00
  5. Step 5: Solve for x
    x = 582,182,177.00/27,879
  6. Step 6: Final answer
    x = 20,882.46

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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.