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Finding the Fourth Proportional to 75,755.66, 104,542.38 and 41,764.01

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Solution

The fourth proportional to 75,755.66, 104,542.38 and 41,764.01 is: 57,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.66 : 104,542.38 = 41,764.01 : x
  2. Step 2: Convert to fraction form
    75,755.66/104,542.38 = 41,764.01/x
  3. Step 3: Cross multiply
    75,755.66x = 104,542.38 × 41,764.01
  4. Step 4: Simplify right side
    75,755.66x = 4,366,108,481.03
  5. Step 5: Solve for x
    x = 4,366,108,481.03/75,755.66
  6. Step 6: Final answer
    x = 57,634.09

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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.