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Finding the Fourth Proportional to 83,841.21, 125,735.13 and 27,670.86

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Solution

The fourth proportional to 83,841.21, 125,735.13 and 27,670.86 is: 41,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.21 : 125,735.13 = 27,670.86 : x
  2. Step 2: Convert to fraction form
    83,841.21/125,735.13 = 27,670.86/x
  3. Step 3: Cross multiply
    83,841.21x = 125,735.13 × 27,670.86
  4. Step 4: Simplify right side
    83,841.21x = 3,479,199,179.31
  5. Step 5: Solve for x
    x = 3,479,199,179.31/83,841.21
  6. Step 6: Final answer
    x = 41,497.48

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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.