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Finding the Fourth Proportional to 122,722.97, 184,086.74 and 38,481.28

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Solution

The fourth proportional to 122,722.97, 184,086.74 and 38,481.28 is: 57,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,722.97 : 184,086.74 = 38,481.28 : x
  2. Step 2: Convert to fraction form
    122,722.97/184,086.74 = 38,481.28/x
  3. Step 3: Cross multiply
    122,722.97x = 184,086.74 × 38,481.28
  4. Step 4: Simplify right side
    122,722.97x = 7,083,893,022.21
  5. Step 5: Solve for x
    x = 7,083,893,022.21/122,722.97
  6. Step 6: Final answer
    x = 57,722.64

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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.