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Finding the Fourth Proportional to 122,729.31, 184,073.31 and 33,991.79

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Solution

The fourth proportional to 122,729.31, 184,073.31 and 33,991.79 is: 50,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,729.31 : 184,073.31 = 33,991.79 : x
  2. Step 2: Convert to fraction form
    122,729.31/184,073.31 = 33,991.79/x
  3. Step 3: Cross multiply
    122,729.31x = 184,073.31 × 33,991.79
  4. Step 4: Simplify right side
    122,729.31x = 6,256,980,377.76
  5. Step 5: Solve for x
    x = 6,256,980,377.76/122,729.31
  6. Step 6: Final answer
    x = 50,981.96

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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.