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Finding the Fourth Proportional to 75,298.38, 103,911.83 and 41,764.38

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Solution

The fourth proportional to 75,298.38, 103,911.83 and 41,764.38 is: 57,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.38 : 103,911.83 = 41,764.38 : x
  2. Step 2: Convert to fraction form
    75,298.38/103,911.83 = 41,764.38/x
  3. Step 3: Cross multiply
    75,298.38x = 103,911.83 × 41,764.38
  4. Step 4: Simplify right side
    75,298.38x = 4,339,813,154.62
  5. Step 5: Solve for x
    x = 4,339,813,154.62/75,298.38
  6. Step 6: Final answer
    x = 57,634.88

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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.