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Finding the Fourth Proportional to 41,939, 57,876 and 23,076.44

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Solution

The fourth proportional to 41,939, 57,876 and 23,076.44 is: 31,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,939 : 57,876 = 23,076.44 : x
  2. Step 2: Convert to fraction form
    41,939/57,876 = 23,076.44/x
  3. Step 3: Cross multiply
    41,939x = 57,876 × 23,076.44
  4. Step 4: Simplify right side
    41,939x = 1,335,572,041.44
  5. Step 5: Solve for x
    x = 1,335,572,041.44/41,939
  6. Step 6: Final answer
    x = 31,845.59

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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.