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Finding the Fourth Proportional to 33,814.37, 50,730.21 and 19,786.20

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Solution

The fourth proportional to 33,814.37, 50,730.21 and 19,786.20 is: 29,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.37 : 50,730.21 = 19,786.20 : x
  2. Step 2: Convert to fraction form
    33,814.37/50,730.21 = 19,786.20/x
  3. Step 3: Cross multiply
    33,814.37x = 50,730.21 × 19,786.20
  4. Step 4: Simplify right side
    33,814.37x = 1,003,758,081.10
  5. Step 5: Solve for x
    x = 1,003,758,081.10/33,814.37
  6. Step 6: Final answer
    x = 29,684.36

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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.