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Finding the Fourth Proportional to 33,392.08, 50,089.74 and 27,538

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Solution

The fourth proportional to 33,392.08, 50,089.74 and 27,538 is: 41,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,392.08 : 50,089.74 = 27,538 : x
  2. Step 2: Convert to fraction form
    33,392.08/50,089.74 = 27,538/x
  3. Step 3: Cross multiply
    33,392.08x = 50,089.74 × 27,538
  4. Step 4: Simplify right side
    33,392.08x = 1,379,371,260.12
  5. Step 5: Solve for x
    x = 1,379,371,260.12/33,392.08
  6. Step 6: Final answer
    x = 41,308.34

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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.