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Finding the Fourth Proportional to 75,231.75, 103,819.83 and 41,697.75

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Solution

The fourth proportional to 75,231.75, 103,819.83 and 41,697.75 is: 57,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231.75 : 103,819.83 = 41,697.75 : x
  2. Step 2: Convert to fraction form
    75,231.75/103,819.83 = 41,697.75/x
  3. Step 3: Cross multiply
    75,231.75x = 103,819.83 × 41,697.75
  4. Step 4: Simplify right side
    75,231.75x = 4,329,053,316.38
  5. Step 5: Solve for x
    x = 4,329,053,316.38/75,231.75
  6. Step 6: Final answer
    x = 57,542.90

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1.5x scale

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.