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Finding the Fourth Proportional to 33,876.33, 50,814.53 and 14,144.13

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Solution

The fourth proportional to 33,876.33, 50,814.53 and 14,144.13 is: 21,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.33 : 50,814.53 = 14,144.13 : x
  2. Step 2: Convert to fraction form
    33,876.33/50,814.53 = 14,144.13/x
  3. Step 3: Cross multiply
    33,876.33x = 50,814.53 × 14,144.13
  4. Step 4: Simplify right side
    33,876.33x = 718,727,247.49
  5. Step 5: Solve for x
    x = 718,727,247.49/33,876.33
  6. Step 6: Final answer
    x = 21,216.21

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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.