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Finding the Fourth Proportional to 71,104.89, 106,657.34 and 21,183.70

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Solution

The fourth proportional to 71,104.89, 106,657.34 and 21,183.70 is: 31,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104.89 : 106,657.34 = 21,183.70 : x
  2. Step 2: Convert to fraction form
    71,104.89/106,657.34 = 21,183.70/x
  3. Step 3: Cross multiply
    71,104.89x = 106,657.34 × 21,183.70
  4. Step 4: Simplify right side
    71,104.89x = 2,259,397,093.36
  5. Step 5: Solve for x
    x = 2,259,397,093.36/71,104.89
  6. Step 6: Final answer
    x = 31,775.55

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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.