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Finding the Fourth Proportional to 62,835.92, 94,202.04 and 25,874

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Solution

The fourth proportional to 62,835.92, 94,202.04 and 25,874 is: 38,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,835.92 : 94,202.04 = 25,874 : x
  2. Step 2: Convert to fraction form
    62,835.92/94,202.04 = 25,874/x
  3. Step 3: Cross multiply
    62,835.92x = 94,202.04 × 25,874
  4. Step 4: Simplify right side
    62,835.92x = 2,437,383,582.96
  5. Step 5: Solve for x
    x = 2,437,383,582.96/62,835.92
  6. Step 6: Final answer
    x = 38,789.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.