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Finding the Fourth Proportional to 33,200.10, 49,814.55 and 16,784.10

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Solution

The fourth proportional to 33,200.10, 49,814.55 and 16,784.10 is: 25,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.10 : 49,814.55 = 16,784.10 : x
  2. Step 2: Convert to fraction form
    33,200.10/49,814.55 = 16,784.10/x
  3. Step 3: Cross multiply
    33,200.10x = 49,814.55 × 16,784.10
  4. Step 4: Simplify right side
    33,200.10x = 836,092,388.66
  5. Step 5: Solve for x
    x = 836,092,388.66/33,200.10
  6. Step 6: Final answer
    x = 25,183.43

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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.