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Finding the Fourth Proportional to 122,713.72, 184,074.71 and 33,959.80

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Solution

The fourth proportional to 122,713.72, 184,074.71 and 33,959.80 is: 50,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,713.72 : 184,074.71 = 33,959.80 : x
  2. Step 2: Convert to fraction form
    122,713.72/184,074.71 = 33,959.80/x
  3. Step 3: Cross multiply
    122,713.72x = 184,074.71 × 33,959.80
  4. Step 4: Simplify right side
    122,713.72x = 6,251,140,336.66
  5. Step 5: Solve for x
    x = 6,251,140,336.66/122,713.72
  6. Step 6: Final answer
    x = 50,940.84

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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.