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Finding the Fourth Proportional to 67,306.86, 100,976.76 and 34,026.21

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Solution

The fourth proportional to 67,306.86, 100,976.76 and 34,026.21 is: 51,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.86 : 100,976.76 = 34,026.21 : x
  2. Step 2: Convert to fraction form
    67,306.86/100,976.76 = 34,026.21/x
  3. Step 3: Cross multiply
    67,306.86x = 100,976.76 × 34,026.21
  4. Step 4: Simplify right side
    67,306.86x = 3,435,856,440.88
  5. Step 5: Solve for x
    x = 3,435,856,440.88/67,306.86
  6. Step 6: Final answer
    x = 51,047.64

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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.