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Finding the Fourth Proportional to 33,955.70, 50,835 and 20,767.82

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Solution

The fourth proportional to 33,955.70, 50,835 and 20,767.82 is: 31,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,955.70 : 50,835 = 20,767.82 : x
  2. Step 2: Convert to fraction form
    33,955.70/50,835 = 20,767.82/x
  3. Step 3: Cross multiply
    33,955.70x = 50,835 × 20,767.82
  4. Step 4: Simplify right side
    33,955.70x = 1,055,732,129.70
  5. Step 5: Solve for x
    x = 1,055,732,129.70/33,955.70
  6. Step 6: Final answer
    x = 31,091.46

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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.