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Finding the Fourth Proportional to 33,478.14, 50,217.50 and 8,518.20

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Solution

The fourth proportional to 33,478.14, 50,217.50 and 8,518.20 is: 12,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.14 : 50,217.50 = 8,518.20 : x
  2. Step 2: Convert to fraction form
    33,478.14/50,217.50 = 8,518.20/x
  3. Step 3: Cross multiply
    33,478.14x = 50,217.50 × 8,518.20
  4. Step 4: Simplify right side
    33,478.14x = 427,762,708.50
  5. Step 5: Solve for x
    x = 427,762,708.50/33,478.14
  6. Step 6: Final answer
    x = 12,777.37

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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.