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Finding the Fourth Proportional to 67,384.62, 100,994.94 and 47,668.86

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Solution

The fourth proportional to 67,384.62, 100,994.94 and 47,668.86 is: 71,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,384.62 : 100,994.94 = 47,668.86 : x
  2. Step 2: Convert to fraction form
    67,384.62/100,994.94 = 47,668.86/x
  3. Step 3: Cross multiply
    67,384.62x = 100,994.94 × 47,668.86
  4. Step 4: Simplify right side
    67,384.62x = 4,814,313,655.57
  5. Step 5: Solve for x
    x = 4,814,313,655.57/67,384.62
  6. Step 6: Final answer
    x = 71,445.29

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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.