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Finding the Fourth Proportional to 54,650.92, 75,418.52 and 30,778

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Solution

The fourth proportional to 54,650.92, 75,418.52 and 30,778 is: 42,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650.92 : 75,418.52 = 30,778 : x
  2. Step 2: Convert to fraction form
    54,650.92/75,418.52 = 30,778/x
  3. Step 3: Cross multiply
    54,650.92x = 75,418.52 × 30,778
  4. Step 4: Simplify right side
    54,650.92x = 2,321,231,208.56
  5. Step 5: Solve for x
    x = 2,321,231,208.56/54,650.92
  6. Step 6: Final answer
    x = 42,473.78

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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.