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Finding the Fourth Proportional to 33,821.69, 50,705.17 and 14,114.99

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Solution

The fourth proportional to 33,821.69, 50,705.17 and 14,114.99 is: 21,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.69 : 50,705.17 = 14,114.99 : x
  2. Step 2: Convert to fraction form
    33,821.69/50,705.17 = 14,114.99/x
  3. Step 3: Cross multiply
    33,821.69x = 50,705.17 × 14,114.99
  4. Step 4: Simplify right side
    33,821.69x = 715,703,058.97
  5. Step 5: Solve for x
    x = 715,703,058.97/33,821.69
  6. Step 6: Final answer
    x = 21,161.07

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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.