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Finding the Fourth Proportional to 71,189.42, 106,796.41 and 29,092.37

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Solution

The fourth proportional to 71,189.42, 106,796.41 and 29,092.37 is: 43,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,189.42 : 106,796.41 = 29,092.37 : x
  2. Step 2: Convert to fraction form
    71,189.42/106,796.41 = 29,092.37/x
  3. Step 3: Cross multiply
    71,189.42x = 106,796.41 × 29,092.37
  4. Step 4: Simplify right side
    71,189.42x = 3,106,960,067.68
  5. Step 5: Solve for x
    x = 3,106,960,067.68/71,189.42
  6. Step 6: Final answer
    x = 43,643.57

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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.