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Finding the Fourth Proportional to 75,846.88, 104,667.96 and 41,855.68

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Solution

The fourth proportional to 75,846.88, 104,667.96 and 41,855.68 is: 57,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.88 : 104,667.96 = 41,855.68 : x
  2. Step 2: Convert to fraction form
    75,846.88/104,667.96 = 41,855.68/x
  3. Step 3: Cross multiply
    75,846.88x = 104,667.96 × 41,855.68
  4. Step 4: Simplify right side
    75,846.88x = 4,380,948,640.01
  5. Step 5: Solve for x
    x = 4,380,948,640.01/75,846.88
  6. Step 6: Final answer
    x = 57,760.43

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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.