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Finding the Fourth Proportional to 33,078.34, 49,619.13 and 13,354.44

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Solution

The fourth proportional to 33,078.34, 49,619.13 and 13,354.44 is: 20,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.34 : 49,619.13 = 13,354.44 : x
  2. Step 2: Convert to fraction form
    33,078.34/49,619.13 = 13,354.44/x
  3. Step 3: Cross multiply
    33,078.34x = 49,619.13 × 13,354.44
  4. Step 4: Simplify right side
    33,078.34x = 662,635,694.44
  5. Step 5: Solve for x
    x = 662,635,694.44/33,078.34
  6. Step 6: Final answer
    x = 20,032.31

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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.