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Finding the Fourth Proportional to 27,876.20, 38,524.46 and 22,832.43

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Solution

The fourth proportional to 27,876.20, 38,524.46 and 22,832.43 is: 31,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.20 : 38,524.46 = 22,832.43 : x
  2. Step 2: Convert to fraction form
    27,876.20/38,524.46 = 22,832.43/x
  3. Step 3: Cross multiply
    27,876.20x = 38,524.46 × 22,832.43
  4. Step 4: Simplify right side
    27,876.20x = 879,607,122.74
  5. Step 5: Solve for x
    x = 879,607,122.74/27,876.20
  6. Step 6: Final answer
    x = 31,554.05

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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.