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Finding the Fourth Proportional to 41,640.42, 57,465.15 and 22,777.56

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Solution

The fourth proportional to 41,640.42, 57,465.15 and 22,777.56 is: 31,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640.42 : 57,465.15 = 22,777.56 : x
  2. Step 2: Convert to fraction form
    41,640.42/57,465.15 = 22,777.56/x
  3. Step 3: Cross multiply
    41,640.42x = 57,465.15 × 22,777.56
  4. Step 4: Simplify right side
    41,640.42x = 1,308,915,902.03
  5. Step 5: Solve for x
    x = 1,308,915,902.03/41,640.42
  6. Step 6: Final answer
    x = 31,433.78

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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.