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Finding the Fourth Proportional to 67,825.70, 101,738.55 and 30,961.70

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Solution

The fourth proportional to 67,825.70, 101,738.55 and 30,961.70 is: 46,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,825.70 : 101,738.55 = 30,961.70 : x
  2. Step 2: Convert to fraction form
    67,825.70/101,738.55 = 30,961.70/x
  3. Step 3: Cross multiply
    67,825.70x = 101,738.55 × 30,961.70
  4. Step 4: Simplify right side
    67,825.70x = 3,149,998,463.54
  5. Step 5: Solve for x
    x = 3,149,998,463.54/67,825.70
  6. Step 6: Final answer
    x = 46,442.55

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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.