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Finding the Fourth Proportional to 41,640.32, 57,463.54 and 22,777.44

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Solution

The fourth proportional to 41,640.32, 57,463.54 and 22,777.44 is: 31,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640.32 : 57,463.54 = 22,777.44 : x
  2. Step 2: Convert to fraction form
    41,640.32/57,463.54 = 22,777.44/x
  3. Step 3: Cross multiply
    41,640.32x = 57,463.54 × 22,777.44
  4. Step 4: Simplify right side
    41,640.32x = 1,308,872,334.54
  5. Step 5: Solve for x
    x = 1,308,872,334.54/41,640.32
  6. Step 6: Final answer
    x = 31,432.81

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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.