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Finding the Fourth Proportional to 33,811.21, 50,721.43 and 14,085.16

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Solution

The fourth proportional to 33,811.21, 50,721.43 and 14,085.16 is: 21,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.21 : 50,721.43 = 14,085.16 : x
  2. Step 2: Convert to fraction form
    33,811.21/50,721.43 = 14,085.16/x
  3. Step 3: Cross multiply
    33,811.21x = 50,721.43 × 14,085.16
  4. Step 4: Simplify right side
    33,811.21x = 714,419,456.98
  5. Step 5: Solve for x
    x = 714,419,456.98/33,811.21
  6. Step 6: Final answer
    x = 21,129.66

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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.