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Finding the Fourth Proportional to 106,687.78, 160,040.81 and 27,801.88

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Solution

The fourth proportional to 106,687.78, 160,040.81 and 27,801.88 is: 41,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.78 : 160,040.81 = 27,801.88 : x
  2. Step 2: Convert to fraction form
    106,687.78/160,040.81 = 27,801.88/x
  3. Step 3: Cross multiply
    106,687.78x = 160,040.81 × 27,801.88
  4. Step 4: Simplify right side
    106,687.78x = 4,449,435,064.13
  5. Step 5: Solve for x
    x = 4,449,435,064.13/106,687.78
  6. Step 6: Final answer
    x = 41,705.20

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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.