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Finding the Fourth Proportional to 33,863.96, 50,814.82 and 12,818

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Solution

The fourth proportional to 33,863.96, 50,814.82 and 12,818 is: 19,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.96 : 50,814.82 = 12,818 : x
  2. Step 2: Convert to fraction form
    33,863.96/50,814.82 = 12,818/x
  3. Step 3: Cross multiply
    33,863.96x = 50,814.82 × 12,818
  4. Step 4: Simplify right side
    33,863.96x = 651,344,362.76
  5. Step 5: Solve for x
    x = 651,344,362.76/33,863.96
  6. Step 6: Final answer
    x = 19,234.15

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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.