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Finding the Fourth Proportional to 67,756, 101,668.68 and 32,257.48

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Solution

The fourth proportional to 67,756, 101,668.68 and 32,257.48 is: 48,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,756 : 101,668.68 = 32,257.48 : x
  2. Step 2: Convert to fraction form
    67,756/101,668.68 = 32,257.48/x
  3. Step 3: Cross multiply
    67,756x = 101,668.68 × 32,257.48
  4. Step 4: Simplify right side
    67,756x = 3,279,575,411.73
  5. Step 5: Solve for x
    x = 3,279,575,411.73/67,756
  6. Step 6: Final answer
    x = 48,402.73

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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.