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Finding the Fourth Proportional to 54,716.92, 75,508.00 and 30,843.38

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Solution

The fourth proportional to 54,716.92, 75,508.00 and 30,843.38 is: 42,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.92 : 75,508.00 = 30,843.38 : x
  2. Step 2: Convert to fraction form
    54,716.92/75,508.00 = 30,843.38/x
  3. Step 3: Cross multiply
    54,716.92x = 75,508.00 × 30,843.38
  4. Step 4: Simplify right side
    54,716.92x = 2,328,922,048.70
  5. Step 5: Solve for x
    x = 2,328,922,048.70/54,716.92
  6. Step 6: Final answer
    x = 42,563.11

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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.