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Finding the Fourth Proportional to 54,906.50, 75,771.24 and 29,756

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Solution

The fourth proportional to 54,906.50, 75,771.24 and 29,756 is: 41,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.50 : 75,771.24 = 29,756 : x
  2. Step 2: Convert to fraction form
    54,906.50/75,771.24 = 29,756/x
  3. Step 3: Cross multiply
    54,906.50x = 75,771.24 × 29,756
  4. Step 4: Simplify right side
    54,906.50x = 2,254,649,017.44
  5. Step 5: Solve for x
    x = 2,254,649,017.44/54,906.50
  6. Step 6: Final answer
    x = 41,063.43

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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.