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Finding the Fourth Proportional to 33,811.90, 50,705.70 and 17,166.40

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Solution

The fourth proportional to 33,811.90, 50,705.70 and 17,166.40 is: 25,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.90 : 50,705.70 = 17,166.40 : x
  2. Step 2: Convert to fraction form
    33,811.90/50,705.70 = 17,166.40/x
  3. Step 3: Cross multiply
    33,811.90x = 50,705.70 × 17,166.40
  4. Step 4: Simplify right side
    33,811.90x = 870,434,328.48
  5. Step 5: Solve for x
    x = 870,434,328.48/33,811.90
  6. Step 6: Final answer
    x = 25,743.43

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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.