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Finding the Fourth Proportional to 33,537.84, 50,313.24 and 11,354.82

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Solution

The fourth proportional to 33,537.84, 50,313.24 and 11,354.82 is: 17,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.84 : 50,313.24 = 11,354.82 : x
  2. Step 2: Convert to fraction form
    33,537.84/50,313.24 = 11,354.82/x
  3. Step 3: Cross multiply
    33,537.84x = 50,313.24 × 11,354.82
  4. Step 4: Simplify right side
    33,537.84x = 571,297,783.82
  5. Step 5: Solve for x
    x = 571,297,783.82/33,537.84
  6. Step 6: Final answer
    x = 17,034.42

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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.