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Finding the Fourth Proportional to 27,778.75, 38,335.49 and 15,204.31

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Solution

The fourth proportional to 27,778.75, 38,335.49 and 15,204.31 is: 20,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.75 : 38,335.49 = 15,204.31 : x
  2. Step 2: Convert to fraction form
    27,778.75/38,335.49 = 15,204.31/x
  3. Step 3: Cross multiply
    27,778.75x = 38,335.49 × 15,204.31
  4. Step 4: Simplify right side
    27,778.75x = 582,864,597.94
  5. Step 5: Solve for x
    x = 582,864,597.94/27,778.75
  6. Step 6: Final answer
    x = 20,982.39

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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.