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Finding the Fourth Proportional to 67,449.32, 101,236.14 and 34,193

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Solution

The fourth proportional to 67,449.32, 101,236.14 and 34,193 is: 51,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,449.32 : 101,236.14 = 34,193 : x
  2. Step 2: Convert to fraction form
    67,449.32/101,236.14 = 34,193/x
  3. Step 3: Cross multiply
    67,449.32x = 101,236.14 × 34,193
  4. Step 4: Simplify right side
    67,449.32x = 3,461,567,335.02
  5. Step 5: Solve for x
    x = 3,461,567,335.02/67,449.32
  6. Step 6: Final answer
    x = 51,321.01

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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.