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Finding the Fourth Proportional to 75,843.44, 104,665.08 and 41,851.40

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Solution

The fourth proportional to 75,843.44, 104,665.08 and 41,851.40 is: 57,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.44 : 104,665.08 = 41,851.40 : x
  2. Step 2: Convert to fraction form
    75,843.44/104,665.08 = 41,851.40/x
  3. Step 3: Cross multiply
    75,843.44x = 104,665.08 × 41,851.40
  4. Step 4: Simplify right side
    75,843.44x = 4,380,380,129.11
  5. Step 5: Solve for x
    x = 4,380,380,129.11/75,843.44
  6. Step 6: Final answer
    x = 57,755.56

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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.