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Finding the Fourth Proportional to 71,249.88, 106,804.34 and 33,744.06

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Solution

The fourth proportional to 71,249.88, 106,804.34 and 33,744.06 is: 50,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,249.88 : 106,804.34 = 33,744.06 : x
  2. Step 2: Convert to fraction form
    71,249.88/106,804.34 = 33,744.06/x
  3. Step 3: Cross multiply
    71,249.88x = 106,804.34 × 33,744.06
  4. Step 4: Simplify right side
    71,249.88x = 3,604,012,057.22
  5. Step 5: Solve for x
    x = 3,604,012,057.22/71,249.88
  6. Step 6: Final answer
    x = 50,582.71

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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.