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Finding the Fourth Proportional to 41,757.46, 57,627.64 and 24,771.76

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Solution

The fourth proportional to 41,757.46, 57,627.64 and 24,771.76 is: 34,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757.46 : 57,627.64 = 24,771.76 : x
  2. Step 2: Convert to fraction form
    41,757.46/57,627.64 = 24,771.76/x
  3. Step 3: Cross multiply
    41,757.46x = 57,627.64 × 24,771.76
  4. Step 4: Simplify right side
    41,757.46x = 1,427,538,067.45
  5. Step 5: Solve for x
    x = 1,427,538,067.45/41,757.46
  6. Step 6: Final answer
    x = 34,186.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.