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Finding the Fourth Proportional to 67,964.62, 101,947 and 25,834.80

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Solution

The fourth proportional to 67,964.62, 101,947 and 25,834.80 is: 38,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,964.62 : 101,947 = 25,834.80 : x
  2. Step 2: Convert to fraction form
    67,964.62/101,947 = 25,834.80/x
  3. Step 3: Cross multiply
    67,964.62x = 101,947 × 25,834.80
  4. Step 4: Simplify right side
    67,964.62x = 2,633,780,355.60
  5. Step 5: Solve for x
    x = 2,633,780,355.60/67,964.62
  6. Step 6: Final answer
    x = 38,752.23

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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.