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Finding the Fourth Proportional to 37,813.50, 52,183.74 and 20,819.52

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Solution

The fourth proportional to 37,813.50, 52,183.74 and 20,819.52 is: 28,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.50 : 52,183.74 = 20,819.52 : x
  2. Step 2: Convert to fraction form
    37,813.50/52,183.74 = 20,819.52/x
  3. Step 3: Cross multiply
    37,813.50x = 52,183.74 × 20,819.52
  4. Step 4: Simplify right side
    37,813.50x = 1,086,440,418.60
  5. Step 5: Solve for x
    x = 1,086,440,418.60/37,813.50
  6. Step 6: Final answer
    x = 28,731.55

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1.5x scale

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.