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Finding the Fourth Proportional to 67,751.74, 101,662.31 and 32,253.22

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Solution

The fourth proportional to 67,751.74, 101,662.31 and 32,253.22 is: 48,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,751.74 : 101,662.31 = 32,253.22 : x
  2. Step 2: Convert to fraction form
    67,751.74/101,662.31 = 32,253.22/x
  3. Step 3: Cross multiply
    67,751.74x = 101,662.31 × 32,253.22
  4. Step 4: Simplify right side
    67,751.74x = 3,278,936,850.14
  5. Step 5: Solve for x
    x = 3,278,936,850.14/67,751.74
  6. Step 6: Final answer
    x = 48,396.35

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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.