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Finding the Fourth Proportional to 54,992.96, 75,889.24 and 33,474.88

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Solution

The fourth proportional to 54,992.96, 75,889.24 and 33,474.88 is: 46,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.96 : 75,889.24 = 33,474.88 : x
  2. Step 2: Convert to fraction form
    54,992.96/75,889.24 = 33,474.88/x
  3. Step 3: Cross multiply
    54,992.96x = 75,889.24 × 33,474.88
  4. Step 4: Simplify right side
    54,992.96x = 2,540,383,202.29
  5. Step 5: Solve for x
    x = 2,540,383,202.29/54,992.96
  6. Step 6: Final answer
    x = 46,194.70

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Why These Related Problems?

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