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Finding the Fourth Proportional to 33,894.05, 50,811 and 12,819.35

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Solution

The fourth proportional to 33,894.05, 50,811 and 12,819.35 is: 19,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.05 : 50,811 = 12,819.35 : x
  2. Step 2: Convert to fraction form
    33,894.05/50,811 = 12,819.35/x
  3. Step 3: Cross multiply
    33,894.05x = 50,811 × 12,819.35
  4. Step 4: Simplify right side
    33,894.05x = 651,363,992.85
  5. Step 5: Solve for x
    x = 651,363,992.85/33,894.05
  6. Step 6: Final answer
    x = 19,217.65

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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.