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Finding the Fourth Proportional to 33,777, 46,623.20 and 21,201.75

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Solution

The fourth proportional to 33,777, 46,623.20 and 21,201.75 is: 29,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,777 : 46,623.20 = 21,201.75 : x
  2. Step 2: Convert to fraction form
    33,777/46,623.20 = 21,201.75/x
  3. Step 3: Cross multiply
    33,777x = 46,623.20 × 21,201.75
  4. Step 4: Simplify right side
    33,777x = 988,493,324.59
  5. Step 5: Solve for x
    x = 988,493,324.59/33,777
  6. Step 6: Final answer
    x = 29,265.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.