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Finding the Fourth Proportional to 33,601.42, 50,391.88 and 11,409.86

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Solution

The fourth proportional to 33,601.42, 50,391.88 and 11,409.86 is: 17,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,601.42 : 50,391.88 = 11,409.86 : x
  2. Step 2: Convert to fraction form
    33,601.42/50,391.88 = 11,409.86/x
  3. Step 3: Cross multiply
    33,601.42x = 50,391.88 × 11,409.86
  4. Step 4: Simplify right side
    33,601.42x = 574,964,295.94
  5. Step 5: Solve for x
    x = 574,964,295.94/33,601.42
  6. Step 6: Final answer
    x = 17,111.31

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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.