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Finding the Fourth Proportional to 67,176, 100,695.96 and 27,754.92

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Solution

The fourth proportional to 67,176, 100,695.96 and 27,754.92 is: 41,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 100,695.96 = 27,754.92 : x
  2. Step 2: Convert to fraction form
    67,176/100,695.96 = 27,754.92/x
  3. Step 3: Cross multiply
    67,176x = 100,695.96 × 27,754.92
  4. Step 4: Simplify right side
    67,176x = 2,794,808,314.12
  5. Step 5: Solve for x
    x = 2,794,808,314.12/67,176
  6. Step 6: Final answer
    x = 41,604.27

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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.