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Finding the Fourth Proportional to 69,452, 104,195.64 and 20,204

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Solution

The fourth proportional to 69,452, 104,195.64 and 20,204 is: 30,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452 : 104,195.64 = 20,204 : x
  2. Step 2: Convert to fraction form
    69,452/104,195.64 = 20,204/x
  3. Step 3: Cross multiply
    69,452x = 104,195.64 × 20,204
  4. Step 4: Simplify right side
    69,452x = 2,105,168,710.56
  5. Step 5: Solve for x
    x = 2,105,168,710.56/69,452
  6. Step 6: Final answer
    x = 30,311.13

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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.