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Finding the Fourth Proportional to 75,082.73, 112,620.84 and 30,694.73

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Solution

The fourth proportional to 75,082.73, 112,620.84 and 30,694.73 is: 46,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.73 : 112,620.84 = 30,694.73 : x
  2. Step 2: Convert to fraction form
    75,082.73/112,620.84 = 30,694.73/x
  3. Step 3: Cross multiply
    75,082.73x = 112,620.84 × 30,694.73
  4. Step 4: Simplify right side
    75,082.73x = 3,456,866,276.17
  5. Step 5: Solve for x
    x = 3,456,866,276.17/75,082.73
  6. Step 6: Final answer
    x = 46,040.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.