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Finding the Fourth Proportional to 75,846.66, 104,667.67 and 41,855.46

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Solution

The fourth proportional to 75,846.66, 104,667.67 and 41,855.46 is: 57,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.66 : 104,667.67 = 41,855.46 : x
  2. Step 2: Convert to fraction form
    75,846.66/104,667.67 = 41,855.46/x
  3. Step 3: Cross multiply
    75,846.66x = 104,667.67 × 41,855.46
  4. Step 4: Simplify right side
    75,846.66x = 4,380,913,474.98
  5. Step 5: Solve for x
    x = 4,380,913,474.98/75,846.66
  6. Step 6: Final answer
    x = 57,760.14

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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.