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Finding the Fourth Proportional to 33,769.20, 50,840.80 and 29,843

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Solution

The fourth proportional to 33,769.20, 50,840.80 and 29,843 is: 44,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769.20 : 50,840.80 = 29,843 : x
  2. Step 2: Convert to fraction form
    33,769.20/50,840.80 = 29,843/x
  3. Step 3: Cross multiply
    33,769.20x = 50,840.80 × 29,843
  4. Step 4: Simplify right side
    33,769.20x = 1,517,241,994.40
  5. Step 5: Solve for x
    x = 1,517,241,994.40/33,769.20
  6. Step 6: Final answer
    x = 44,929.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.