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Finding the Fourth Proportional to 107,171.34, 160,757.07 and 27,215.29

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Solution

The fourth proportional to 107,171.34, 160,757.07 and 27,215.29 is: 40,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,171.34 : 160,757.07 = 27,215.29 : x
  2. Step 2: Convert to fraction form
    107,171.34/160,757.07 = 27,215.29/x
  3. Step 3: Cross multiply
    107,171.34x = 160,757.07 × 27,215.29
  4. Step 4: Simplify right side
    107,171.34x = 4,375,050,531.58
  5. Step 5: Solve for x
    x = 4,375,050,531.58/107,171.34
  6. Step 6: Final answer
    x = 40,822.95

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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.