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Finding the Fourth Proportional to 33,517.46, 50,276.23 and 13,782.22

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Solution

The fourth proportional to 33,517.46, 50,276.23 and 13,782.22 is: 20,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,517.46 : 50,276.23 = 13,782.22 : x
  2. Step 2: Convert to fraction form
    33,517.46/50,276.23 = 13,782.22/x
  3. Step 3: Cross multiply
    33,517.46x = 50,276.23 × 13,782.22
  4. Step 4: Simplify right side
    33,517.46x = 692,917,902.48
  5. Step 5: Solve for x
    x = 692,917,902.48/33,517.46
  6. Step 6: Final answer
    x = 20,673.34

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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.