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Finding the Fourth Proportional to 106,634.88, 159,963.84 and 32,757.12

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Solution

The fourth proportional to 106,634.88, 159,963.84 and 32,757.12 is: 49,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,634.88 : 159,963.84 = 32,757.12 : x
  2. Step 2: Convert to fraction form
    106,634.88/159,963.84 = 32,757.12/x
  3. Step 3: Cross multiply
    106,634.88x = 159,963.84 × 32,757.12
  4. Step 4: Simplify right side
    106,634.88x = 5,239,954,702.54
  5. Step 5: Solve for x
    x = 5,239,954,702.54/106,634.88
  6. Step 6: Final answer
    x = 49,139.22

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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.