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Finding the Fourth Proportional to 41,961.04, 57,876.74 and 27,616.30

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Solution

The fourth proportional to 41,961.04, 57,876.74 and 27,616.30 is: 38,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961.04 : 57,876.74 = 27,616.30 : x
  2. Step 2: Convert to fraction form
    41,961.04/57,876.74 = 27,616.30/x
  3. Step 3: Cross multiply
    41,961.04x = 57,876.74 × 27,616.30
  4. Step 4: Simplify right side
    41,961.04x = 1,598,341,414.86
  5. Step 5: Solve for x
    x = 1,598,341,414.86/41,961.04
  6. Step 6: Final answer
    x = 38,091.08

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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.