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Finding the Fourth Proportional to 54,650.68, 75,418.16 and 30,777.75

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Solution

The fourth proportional to 54,650.68, 75,418.16 and 30,777.75 is: 42,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650.68 : 75,418.16 = 30,777.75 : x
  2. Step 2: Convert to fraction form
    54,650.68/75,418.16 = 30,777.75/x
  3. Step 3: Cross multiply
    54,650.68x = 75,418.16 × 30,777.75
  4. Step 4: Simplify right side
    54,650.68x = 2,321,201,120.05
  5. Step 5: Solve for x
    x = 2,321,201,120.05/54,650.68
  6. Step 6: Final answer
    x = 42,473.42

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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.