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Finding the Fourth Proportional to 69,138.46, 103,684.63 and 27,007.62

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Solution

The fourth proportional to 69,138.46, 103,684.63 and 27,007.62 is: 40,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.46 : 103,684.63 = 27,007.62 : x
  2. Step 2: Convert to fraction form
    69,138.46/103,684.63 = 27,007.62/x
  3. Step 3: Cross multiply
    69,138.46x = 103,684.63 × 27,007.62
  4. Step 4: Simplify right side
    69,138.46x = 2,800,275,086.88
  5. Step 5: Solve for x
    x = 2,800,275,086.88/69,138.46
  6. Step 6: Final answer
    x = 40,502.42

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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.