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Finding the Fourth Proportional to 67,502.80, 101,274.72 and 47,819.44

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Solution

The fourth proportional to 67,502.80, 101,274.72 and 47,819.44 is: 71,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502.80 : 101,274.72 = 47,819.44 : x
  2. Step 2: Convert to fraction form
    67,502.80/101,274.72 = 47,819.44/x
  3. Step 3: Cross multiply
    67,502.80x = 101,274.72 × 47,819.44
  4. Step 4: Simplify right side
    67,502.80x = 4,842,900,396.56
  5. Step 5: Solve for x
    x = 4,842,900,396.56/67,502.80
  6. Step 6: Final answer
    x = 71,743.70

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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.