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Finding the Fourth Proportional to 75,843.73, 104,663.50 and 41,852.49

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Solution

The fourth proportional to 75,843.73, 104,663.50 and 41,852.49 is: 57,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.73 : 104,663.50 = 41,852.49 : x
  2. Step 2: Convert to fraction form
    75,843.73/104,663.50 = 41,852.49/x
  3. Step 3: Cross multiply
    75,843.73x = 104,663.50 × 41,852.49
  4. Step 4: Simplify right side
    75,843.73x = 4,380,428,087.12
  5. Step 5: Solve for x
    x = 4,380,428,087.12/75,843.73
  6. Step 6: Final answer
    x = 57,755.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.