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Finding the Fourth Proportional to 33,838.48, 50,815.80 and 20,767.60

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Solution

The fourth proportional to 33,838.48, 50,815.80 and 20,767.60 is: 31,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.48 : 50,815.80 = 20,767.60 : x
  2. Step 2: Convert to fraction form
    33,838.48/50,815.80 = 20,767.60/x
  3. Step 3: Cross multiply
    33,838.48x = 50,815.80 × 20,767.60
  4. Step 4: Simplify right side
    33,838.48x = 1,055,322,208.08
  5. Step 5: Solve for x
    x = 1,055,322,208.08/33,838.48
  6. Step 6: Final answer
    x = 31,187.05

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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.