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Finding the Fourth Proportional to 33,910.86, 50,849.88 and 11,716.46

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Solution

The fourth proportional to 33,910.86, 50,849.88 and 11,716.46 is: 17,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,910.86 : 50,849.88 = 11,716.46 : x
  2. Step 2: Convert to fraction form
    33,910.86/50,849.88 = 11,716.46/x
  3. Step 3: Cross multiply
    33,910.86x = 50,849.88 × 11,716.46
  4. Step 4: Simplify right side
    33,910.86x = 595,780,585.02
  5. Step 5: Solve for x
    x = 595,780,585.02/33,910.86
  6. Step 6: Final answer
    x = 17,569.02

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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.