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Finding the Fourth Proportional to 71,086.33, 106,544.67 and 33,084.46

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Solution

The fourth proportional to 71,086.33, 106,544.67 and 33,084.46 is: 49,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.33 : 106,544.67 = 33,084.46 : x
  2. Step 2: Convert to fraction form
    71,086.33/106,544.67 = 33,084.46/x
  3. Step 3: Cross multiply
    71,086.33x = 106,544.67 × 33,084.46
  4. Step 4: Simplify right side
    71,086.33x = 3,524,972,872.83
  5. Step 5: Solve for x
    x = 3,524,972,872.83/71,086.33
  6. Step 6: Final answer
    x = 49,587.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.