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Finding the Fourth Proportional to 41,836.50, 57,734.78 and 22,974.03

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Solution

The fourth proportional to 41,836.50, 57,734.78 and 22,974.03 is: 31,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836.50 : 57,734.78 = 22,974.03 : x
  2. Step 2: Convert to fraction form
    41,836.50/57,734.78 = 22,974.03/x
  3. Step 3: Cross multiply
    41,836.50x = 57,734.78 × 22,974.03
  4. Step 4: Simplify right side
    41,836.50x = 1,326,400,452.89
  5. Step 5: Solve for x
    x = 1,326,400,452.89/41,836.50
  6. Step 6: Final answer
    x = 31,704.38

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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.