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Finding the Fourth Proportional to 106,708.62, 160,080.31 and 49,839.40

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Solution

The fourth proportional to 106,708.62, 160,080.31 and 49,839.40 is: 74,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.62 : 160,080.31 = 49,839.40 : x
  2. Step 2: Convert to fraction form
    106,708.62/160,080.31 = 49,839.40/x
  3. Step 3: Cross multiply
    106,708.62x = 160,080.31 × 49,839.40
  4. Step 4: Simplify right side
    106,708.62x = 7,978,306,864.61
  5. Step 5: Solve for x
    x = 7,978,306,864.61/106,708.62
  6. Step 6: Final answer
    x = 74,767.22

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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.