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Finding the Fourth Proportional to 27,625.38, 38,122.82 and 15,050.14

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Solution

The fourth proportional to 27,625.38, 38,122.82 and 15,050.14 is: 20,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.38 : 38,122.82 = 15,050.14 : x
  2. Step 2: Convert to fraction form
    27,625.38/38,122.82 = 15,050.14/x
  3. Step 3: Cross multiply
    27,625.38x = 38,122.82 × 15,050.14
  4. Step 4: Simplify right side
    27,625.38x = 573,753,778.19
  5. Step 5: Solve for x
    x = 573,753,778.19/27,625.38
  6. Step 6: Final answer
    x = 20,769.08

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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.