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Finding the Fourth Proportional to 100,622.26, 150,976.50 and 34,069.42

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Solution

The fourth proportional to 100,622.26, 150,976.50 and 34,069.42 is: 51,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,622.26 : 150,976.50 = 34,069.42 : x
  2. Step 2: Convert to fraction form
    100,622.26/150,976.50 = 34,069.42/x
  3. Step 3: Cross multiply
    100,622.26x = 150,976.50 × 34,069.42
  4. Step 4: Simplify right side
    100,622.26x = 5,143,681,788.63
  5. Step 5: Solve for x
    x = 5,143,681,788.63/100,622.26
  6. Step 6: Final answer
    x = 51,118.73

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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.