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Finding the Fourth Proportional to 67,069.32, 100,450.80 and 32,033.76

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Solution

The fourth proportional to 67,069.32, 100,450.80 and 32,033.76 is: 47,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069.32 : 100,450.80 = 32,033.76 : x
  2. Step 2: Convert to fraction form
    67,069.32/100,450.80 = 32,033.76/x
  3. Step 3: Cross multiply
    67,069.32x = 100,450.80 × 32,033.76
  4. Step 4: Simplify right side
    67,069.32x = 3,217,816,819.01
  5. Step 5: Solve for x
    x = 3,217,816,819.01/67,069.32
  6. Step 6: Final answer
    x = 47,977.48

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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.