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Finding the Fourth Proportional to 41,640.69, 57,468.11 and 22,780.65

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Solution

The fourth proportional to 41,640.69, 57,468.11 and 22,780.65 is: 31,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640.69 : 57,468.11 = 22,780.65 : x
  2. Step 2: Convert to fraction form
    41,640.69/57,468.11 = 22,780.65/x
  3. Step 3: Cross multiply
    41,640.69x = 57,468.11 × 22,780.65
  4. Step 4: Simplify right side
    41,640.69x = 1,309,160,786.17
  5. Step 5: Solve for x
    x = 1,309,160,786.17/41,640.69
  6. Step 6: Final answer
    x = 31,439.46

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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.