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Finding the Fourth Proportional to 54,451.72, 75,143.38 and 30,578.41

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Solution

The fourth proportional to 54,451.72, 75,143.38 and 30,578.41 is: 42,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,451.72 : 75,143.38 = 30,578.41 : x
  2. Step 2: Convert to fraction form
    54,451.72/75,143.38 = 30,578.41/x
  3. Step 3: Cross multiply
    54,451.72x = 75,143.38 × 30,578.41
  4. Step 4: Simplify right side
    54,451.72x = 2,297,765,082.43
  5. Step 5: Solve for x
    x = 2,297,765,082.43/54,451.72
  6. Step 6: Final answer
    x = 42,198.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.