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Finding the Fourth Proportional to 106,474.75, 159,739.13 and 39,915.07

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Solution

The fourth proportional to 106,474.75, 159,739.13 and 39,915.07 is: 59,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474.75 : 159,739.13 = 39,915.07 : x
  2. Step 2: Convert to fraction form
    106,474.75/159,739.13 = 39,915.07/x
  3. Step 3: Cross multiply
    106,474.75x = 159,739.13 × 39,915.07
  4. Step 4: Simplify right side
    106,474.75x = 6,375,998,555.69
  5. Step 5: Solve for x
    x = 6,375,998,555.69/106,474.75
  6. Step 6: Final answer
    x = 59,882.73

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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.