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Finding the Fourth Proportional to 67,107.60, 100,665.54 and 27,651.42

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Solution

The fourth proportional to 67,107.60, 100,665.54 and 27,651.42 is: 41,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,107.60 : 100,665.54 = 27,651.42 : x
  2. Step 2: Convert to fraction form
    67,107.60/100,665.54 = 27,651.42/x
  3. Step 3: Cross multiply
    67,107.60x = 100,665.54 × 27,651.42
  4. Step 4: Simplify right side
    67,107.60x = 2,783,545,126.07
  5. Step 5: Solve for x
    x = 2,783,545,126.07/67,107.60
  6. Step 6: Final answer
    x = 41,478.84

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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.