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Finding the Fourth Proportional to 54,542.41, 75,267.03 and 30,668.47

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Solution

The fourth proportional to 54,542.41, 75,267.03 and 30,668.47 is: 42,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.41 : 75,267.03 = 30,668.47 : x
  2. Step 2: Convert to fraction form
    54,542.41/75,267.03 = 30,668.47/x
  3. Step 3: Cross multiply
    54,542.41x = 75,267.03 × 30,668.47
  4. Step 4: Simplify right side
    54,542.41x = 2,308,324,651.54
  5. Step 5: Solve for x
    x = 2,308,324,651.54/54,542.41
  6. Step 6: Final answer
    x = 42,321.65

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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.