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Finding the Fourth Proportional to 122,709.12, 184,067.74 and 33,955.16

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Solution

The fourth proportional to 122,709.12, 184,067.74 and 33,955.16 is: 50,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709.12 : 184,067.74 = 33,955.16 : x
  2. Step 2: Convert to fraction form
    122,709.12/184,067.74 = 33,955.16/x
  3. Step 3: Cross multiply
    122,709.12x = 184,067.74 × 33,955.16
  4. Step 4: Simplify right side
    122,709.12x = 6,250,049,562.54
  5. Step 5: Solve for x
    x = 6,250,049,562.54/122,709.12
  6. Step 6: Final answer
    x = 50,933.86

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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.