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Finding the Fourth Proportional to 100,961.88, 151,474.32 and 41,825.40

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Solution

The fourth proportional to 100,961.88, 151,474.32 and 41,825.40 is: 62,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.88 : 151,474.32 = 41,825.40 : x
  2. Step 2: Convert to fraction form
    100,961.88/151,474.32 = 41,825.40/x
  3. Step 3: Cross multiply
    100,961.88x = 151,474.32 × 41,825.40
  4. Step 4: Simplify right side
    100,961.88x = 6,335,474,023.73
  5. Step 5: Solve for x
    x = 6,335,474,023.73/100,961.88
  6. Step 6: Final answer
    x = 62,751.15

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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.