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Finding the Fourth Proportional to 122,802, 184,233.24 and 39,696

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Solution

The fourth proportional to 122,802, 184,233.24 and 39,696 is: 59,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802 : 184,233.24 = 39,696 : x
  2. Step 2: Convert to fraction form
    122,802/184,233.24 = 39,696/x
  3. Step 3: Cross multiply
    122,802x = 184,233.24 × 39,696
  4. Step 4: Simplify right side
    122,802x = 7,313,322,695.04
  5. Step 5: Solve for x
    x = 7,313,322,695.04/122,802
  6. Step 6: Final answer
    x = 59,553.78

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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.