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Finding the Fourth Proportional to 33,178.38, 49,783.49 and 20,695.20

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Solution

The fourth proportional to 33,178.38, 49,783.49 and 20,695.20 is: 31,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.38 : 49,783.49 = 20,695.20 : x
  2. Step 2: Convert to fraction form
    33,178.38/49,783.49 = 20,695.20/x
  3. Step 3: Cross multiply
    33,178.38x = 49,783.49 × 20,695.20
  4. Step 4: Simplify right side
    33,178.38x = 1,030,279,282.25
  5. Step 5: Solve for x
    x = 1,030,279,282.25/33,178.38
  6. Step 6: Final answer
    x = 31,052.73

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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.