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Finding the Fourth Proportional to 54,974.38, 75,860.12 and 32,314.33

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Solution

The fourth proportional to 54,974.38, 75,860.12 and 32,314.33 is: 44,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.38 : 75,860.12 = 32,314.33 : x
  2. Step 2: Convert to fraction form
    54,974.38/75,860.12 = 32,314.33/x
  3. Step 3: Cross multiply
    54,974.38x = 75,860.12 × 32,314.33
  4. Step 4: Simplify right side
    54,974.38x = 2,451,368,929.57
  5. Step 5: Solve for x
    x = 2,451,368,929.57/54,974.38
  6. Step 6: Final answer
    x = 44,591.11

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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.