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Finding the Fourth Proportional to 67,143.87, 100,736.64 and 27,704.16

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Solution

The fourth proportional to 67,143.87, 100,736.64 and 27,704.16 is: 41,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,143.87 : 100,736.64 = 27,704.16 : x
  2. Step 2: Convert to fraction form
    67,143.87/100,736.64 = 27,704.16/x
  3. Step 3: Cross multiply
    67,143.87x = 100,736.64 × 27,704.16
  4. Step 4: Simplify right side
    67,143.87x = 2,790,823,992.42
  5. Step 5: Solve for x
    x = 2,790,823,992.42/67,143.87
  6. Step 6: Final answer
    x = 41,564.84

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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.