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Finding the Fourth Proportional to 54,382.95, 75,049.20 and 30,508.20

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Solution

The fourth proportional to 54,382.95, 75,049.20 and 30,508.20 is: 42,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.95 : 75,049.20 = 30,508.20 : x
  2. Step 2: Convert to fraction form
    54,382.95/75,049.20 = 30,508.20/x
  3. Step 3: Cross multiply
    54,382.95x = 75,049.20 × 30,508.20
  4. Step 4: Simplify right side
    54,382.95x = 2,289,616,003.44
  5. Step 5: Solve for x
    x = 2,289,616,003.44/54,382.95
  6. Step 6: Final answer
    x = 42,101.72

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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.