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Finding the Fourth Proportional to 24,012.50, 35,944.94 and 20,469.56

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Solution

The fourth proportional to 24,012.50, 35,944.94 and 20,469.56 is: 30,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.50 : 35,944.94 = 20,469.56 : x
  2. Step 2: Convert to fraction form
    24,012.50/35,944.94 = 20,469.56/x
  3. Step 3: Cross multiply
    24,012.50x = 35,944.94 × 20,469.56
  4. Step 4: Simplify right side
    24,012.50x = 735,777,122.10
  5. Step 5: Solve for x
    x = 735,777,122.10/24,012.50
  6. Step 6: Final answer
    x = 30,641.42

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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.