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Finding the Fourth Proportional to 85,255.92, 127,884.31 and 22,071.61

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Solution

The fourth proportional to 85,255.92, 127,884.31 and 22,071.61 is: 33,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255.92 : 127,884.31 = 22,071.61 : x
  2. Step 2: Convert to fraction form
    85,255.92/127,884.31 = 22,071.61/x
  3. Step 3: Cross multiply
    85,255.92x = 127,884.31 × 22,071.61
  4. Step 4: Simplify right side
    85,255.92x = 2,822,613,188.42
  5. Step 5: Solve for x
    x = 2,822,613,188.42/85,255.92
  6. Step 6: Final answer
    x = 33,107.53

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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.