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Finding the Fourth Proportional to 41,642.69, 57,470.87 and 22,782.65

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Solution

The fourth proportional to 41,642.69, 57,470.87 and 22,782.65 is: 31,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.69 : 57,470.87 = 22,782.65 : x
  2. Step 2: Convert to fraction form
    41,642.69/57,470.87 = 22,782.65/x
  3. Step 3: Cross multiply
    41,642.69x = 57,470.87 × 22,782.65
  4. Step 4: Simplify right side
    41,642.69x = 1,309,338,716.41
  5. Step 5: Solve for x
    x = 1,309,338,716.41/41,642.69
  6. Step 6: Final answer
    x = 31,442.22

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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.