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Finding the Fourth Proportional to 123,697.92, 185,544.96 and 49,824

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Solution

The fourth proportional to 123,697.92, 185,544.96 and 49,824 is: 74,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,697.92 : 185,544.96 = 49,824 : x
  2. Step 2: Convert to fraction form
    123,697.92/185,544.96 = 49,824/x
  3. Step 3: Cross multiply
    123,697.92x = 185,544.96 × 49,824
  4. Step 4: Simplify right side
    123,697.92x = 9,244,592,087.04
  5. Step 5: Solve for x
    x = 9,244,592,087.04/123,697.92
  6. Step 6: Final answer
    x = 74,735.23

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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.