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Finding the Fourth Proportional to 33,883.25, 50,814.68 and 12,816.23

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Solution

The fourth proportional to 33,883.25, 50,814.68 and 12,816.23 is: 19,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.25 : 50,814.68 = 12,816.23 : x
  2. Step 2: Convert to fraction form
    33,883.25/50,814.68 = 12,816.23/x
  3. Step 3: Cross multiply
    33,883.25x = 50,814.68 × 12,816.23
  4. Step 4: Simplify right side
    33,883.25x = 651,252,308.10
  5. Step 5: Solve for x
    x = 651,252,308.10/33,883.25
  6. Step 6: Final answer
    x = 19,220.48

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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.