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Finding the Fourth Proportional to 33,217.83, 49,818.15 and 9,838.80

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Solution

The fourth proportional to 33,217.83, 49,818.15 and 9,838.80 is: 14,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217.83 : 49,818.15 = 9,838.80 : x
  2. Step 2: Convert to fraction form
    33,217.83/49,818.15 = 9,838.80/x
  3. Step 3: Cross multiply
    33,217.83x = 49,818.15 × 9,838.80
  4. Step 4: Simplify right side
    33,217.83x = 490,150,814.22
  5. Step 5: Solve for x
    x = 490,150,814.22/33,217.83
  6. Step 6: Final answer
    x = 14,755.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.