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Finding the Fourth Proportional to 54,431.52, 75,114.24 and 30,559.20

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Solution

The fourth proportional to 54,431.52, 75,114.24 and 30,559.20 is: 42,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,431.52 : 75,114.24 = 30,559.20 : x
  2. Step 2: Convert to fraction form
    54,431.52/75,114.24 = 30,559.20/x
  3. Step 3: Cross multiply
    54,431.52x = 75,114.24 × 30,559.20
  4. Step 4: Simplify right side
    54,431.52x = 2,295,431,083.01
  5. Step 5: Solve for x
    x = 2,295,431,083.01/54,431.52
  6. Step 6: Final answer
    x = 42,170.99

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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.