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Finding the Fourth Proportional to 67,742.92, 101,676.75 and 34,486.75

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Solution

The fourth proportional to 67,742.92, 101,676.75 and 34,486.75 is: 51,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742.92 : 101,676.75 = 34,486.75 : x
  2. Step 2: Convert to fraction form
    67,742.92/101,676.75 = 34,486.75/x
  3. Step 3: Cross multiply
    67,742.92x = 101,676.75 × 34,486.75
  4. Step 4: Simplify right side
    67,742.92x = 3,506,500,658.06
  5. Step 5: Solve for x
    x = 3,506,500,658.06/67,742.92
  6. Step 6: Final answer
    x = 51,761.88

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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.