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Finding the Fourth Proportional to 33,478.50, 50,218.04 and 8,518.58

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Solution

The fourth proportional to 33,478.50, 50,218.04 and 8,518.58 is: 12,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.50 : 50,218.04 = 8,518.58 : x
  2. Step 2: Convert to fraction form
    33,478.50/50,218.04 = 8,518.58/x
  3. Step 3: Cross multiply
    33,478.50x = 50,218.04 × 8,518.58
  4. Step 4: Simplify right side
    33,478.50x = 427,786,097.50
  5. Step 5: Solve for x
    x = 427,786,097.50/33,478.50
  6. Step 6: Final answer
    x = 12,777.94

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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.