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Finding the Fourth Proportional to 100,961.71, 151,442.57 and 34,367.56

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Solution

The fourth proportional to 100,961.71, 151,442.57 and 34,367.56 is: 51,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.71 : 151,442.57 = 34,367.56 : x
  2. Step 2: Convert to fraction form
    100,961.71/151,442.57 = 34,367.56/x
  3. Step 3: Cross multiply
    100,961.71x = 151,442.57 × 34,367.56
  4. Step 4: Simplify right side
    100,961.71x = 5,204,711,611.03
  5. Step 5: Solve for x
    x = 5,204,711,611.03/100,961.71
  6. Step 6: Final answer
    x = 51,551.34

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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.