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Finding the Fourth Proportional to 33,769.80, 50,623.74 and 12,977.64

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Solution

The fourth proportional to 33,769.80, 50,623.74 and 12,977.64 is: 19,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769.80 : 50,623.74 = 12,977.64 : x
  2. Step 2: Convert to fraction form
    33,769.80/50,623.74 = 12,977.64/x
  3. Step 3: Cross multiply
    33,769.80x = 50,623.74 × 12,977.64
  4. Step 4: Simplify right side
    33,769.80x = 656,976,673.17
  5. Step 5: Solve for x
    x = 656,976,673.17/33,769.80
  6. Step 6: Final answer
    x = 19,454.56

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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.