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Finding the Fourth Proportional to 106,192.64, 159,177.84 and 39,606

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Solution

The fourth proportional to 106,192.64, 159,177.84 and 39,606 is: 59,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,192.64 : 159,177.84 = 39,606 : x
  2. Step 2: Convert to fraction form
    106,192.64/159,177.84 = 39,606/x
  3. Step 3: Cross multiply
    106,192.64x = 159,177.84 × 39,606
  4. Step 4: Simplify right side
    106,192.64x = 6,304,397,531.04
  5. Step 5: Solve for x
    x = 6,304,397,531.04/106,192.64
  6. Step 6: Final answer
    x = 59,367.56

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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.