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Finding the Fourth Proportional to 33,849.17, 50,802.91 and 16,333.73

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Solution

The fourth proportional to 33,849.17, 50,802.91 and 16,333.73 is: 24,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,849.17 : 50,802.91 = 16,333.73 : x
  2. Step 2: Convert to fraction form
    33,849.17/50,802.91 = 16,333.73/x
  3. Step 3: Cross multiply
    33,849.17x = 50,802.91 × 16,333.73
  4. Step 4: Simplify right side
    33,849.17x = 829,800,720.31
  5. Step 5: Solve for x
    x = 829,800,720.31/33,849.17
  6. Step 6: Final answer
    x = 24,514.66

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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.