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Finding the Fourth Proportional to 73,452.88, 110,135.52 and 29,086

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Solution

The fourth proportional to 73,452.88, 110,135.52 and 29,086 is: 43,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,452.88 : 110,135.52 = 29,086 : x
  2. Step 2: Convert to fraction form
    73,452.88/110,135.52 = 29,086/x
  3. Step 3: Cross multiply
    73,452.88x = 110,135.52 × 29,086
  4. Step 4: Simplify right side
    73,452.88x = 3,203,401,734.72
  5. Step 5: Solve for x
    x = 3,203,401,734.72/73,452.88
  6. Step 6: Final answer
    x = 43,611.66

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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.