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Finding the Fourth Proportional to 123,698.92, 185,546.46 and 49,825

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Solution

The fourth proportional to 123,698.92, 185,546.46 and 49,825 is: 74,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,698.92 : 185,546.46 = 49,825 : x
  2. Step 2: Convert to fraction form
    123,698.92/185,546.46 = 49,825/x
  3. Step 3: Cross multiply
    123,698.92x = 185,546.46 × 49,825
  4. Step 4: Simplify right side
    123,698.92x = 9,244,852,369.50
  5. Step 5: Solve for x
    x = 9,244,852,369.50/123,698.92
  6. Step 6: Final answer
    x = 74,736.73

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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.