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Finding the Fourth Proportional to 67,741.80, 101,727.90 and 50,231.40

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Solution

The fourth proportional to 67,741.80, 101,727.90 and 50,231.40 is: 75,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,741.80 : 101,727.90 = 50,231.40 : x
  2. Step 2: Convert to fraction form
    67,741.80/101,727.90 = 50,231.40/x
  3. Step 3: Cross multiply
    67,741.80x = 101,727.90 × 50,231.40
  4. Step 4: Simplify right side
    67,741.80x = 5,109,934,836.06
  5. Step 5: Solve for x
    x = 5,109,934,836.06/67,741.80
  6. Step 6: Final answer
    x = 75,432.52

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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.