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Finding the Fourth Proportional to 69,344, 104,033.28 and 20,096

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Solution

The fourth proportional to 69,344, 104,033.28 and 20,096 is: 30,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 104,033.28 = 20,096 : x
  2. Step 2: Convert to fraction form
    69,344/104,033.28 = 20,096/x
  3. Step 3: Cross multiply
    69,344x = 104,033.28 × 20,096
  4. Step 4: Simplify right side
    69,344x = 2,090,652,794.88
  5. Step 5: Solve for x
    x = 2,090,652,794.88/69,344
  6. Step 6: Final answer
    x = 30,149.01

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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.