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Finding the Fourth Proportional to 41,974.56, 57,940.08 and 27,832.08

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Solution

The fourth proportional to 41,974.56, 57,940.08 and 27,832.08 is: 38,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974.56 : 57,940.08 = 27,832.08 : x
  2. Step 2: Convert to fraction form
    41,974.56/57,940.08 = 27,832.08/x
  3. Step 3: Cross multiply
    41,974.56x = 57,940.08 × 27,832.08
  4. Step 4: Simplify right side
    41,974.56x = 1,612,592,941.77
  5. Step 5: Solve for x
    x = 1,612,592,941.77/41,974.56
  6. Step 6: Final answer
    x = 38,418.34

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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.