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Finding the Fourth Proportional to 57,974.50, 80,005.08 and 32,824

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Solution

The fourth proportional to 57,974.50, 80,005.08 and 32,824 is: 45,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,974.50 : 80,005.08 = 32,824 : x
  2. Step 2: Convert to fraction form
    57,974.50/80,005.08 = 32,824/x
  3. Step 3: Cross multiply
    57,974.50x = 80,005.08 × 32,824
  4. Step 4: Simplify right side
    57,974.50x = 2,626,086,745.92
  5. Step 5: Solve for x
    x = 2,626,086,745.92/57,974.50
  6. Step 6: Final answer
    x = 45,297.27

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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.