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Finding the Fourth Proportional to 71,067.42, 106,563.87 and 35,490.60

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Solution

The fourth proportional to 71,067.42, 106,563.87 and 35,490.60 is: 53,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.42 : 106,563.87 = 35,490.60 : x
  2. Step 2: Convert to fraction form
    71,067.42/106,563.87 = 35,490.60/x
  3. Step 3: Cross multiply
    71,067.42x = 106,563.87 × 35,490.60
  4. Step 4: Simplify right side
    71,067.42x = 3,782,015,684.62
  5. Step 5: Solve for x
    x = 3,782,015,684.62/71,067.42
  6. Step 6: Final answer
    x = 53,217.29

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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.