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Finding the Fourth Proportional to 75,834.72, 104,647.19 and 41,843.48

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Solution

The fourth proportional to 75,834.72, 104,647.19 and 41,843.48 is: 57,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,834.72 : 104,647.19 = 41,843.48 : x
  2. Step 2: Convert to fraction form
    75,834.72/104,647.19 = 41,843.48/x
  3. Step 3: Cross multiply
    75,834.72x = 104,647.19 × 41,843.48
  4. Step 4: Simplify right side
    75,834.72x = 4,378,801,869.37
  5. Step 5: Solve for x
    x = 4,378,801,869.37/75,834.72
  6. Step 6: Final answer
    x = 57,741.39

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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.