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Finding the Fourth Proportional to 75,846.38, 104,667.27 and 41,855.18

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Solution

The fourth proportional to 75,846.38, 104,667.27 and 41,855.18 is: 57,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.38 : 104,667.27 = 41,855.18 : x
  2. Step 2: Convert to fraction form
    75,846.38/104,667.27 = 41,855.18/x
  3. Step 3: Cross multiply
    75,846.38x = 104,667.27 × 41,855.18
  4. Step 4: Simplify right side
    75,846.38x = 4,380,867,425.96
  5. Step 5: Solve for x
    x = 4,380,867,425.96/75,846.38
  6. Step 6: Final answer
    x = 57,759.74

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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.