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Finding the Fourth Proportional to 83,407.56, 125,098.11 and 27,247.20

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Solution

The fourth proportional to 83,407.56, 125,098.11 and 27,247.20 is: 40,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.56 : 125,098.11 = 27,247.20 : x
  2. Step 2: Convert to fraction form
    83,407.56/125,098.11 = 27,247.20/x
  3. Step 3: Cross multiply
    83,407.56x = 125,098.11 × 27,247.20
  4. Step 4: Simplify right side
    83,407.56x = 3,408,573,222.79
  5. Step 5: Solve for x
    x = 3,408,573,222.79/83,407.56
  6. Step 6: Final answer
    x = 40,866.48

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1.5x scale

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.