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Finding the Fourth Proportional to 122,709.61, 184,065.77 and 33,963.88

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Solution

The fourth proportional to 122,709.61, 184,065.77 and 33,963.88 is: 50,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709.61 : 184,065.77 = 33,963.88 : x
  2. Step 2: Convert to fraction form
    122,709.61/184,065.77 = 33,963.88/x
  3. Step 3: Cross multiply
    122,709.61x = 184,065.77 × 33,963.88
  4. Step 4: Simplify right side
    122,709.61x = 6,251,587,724.39
  5. Step 5: Solve for x
    x = 6,251,587,724.39/122,709.61
  6. Step 6: Final answer
    x = 50,946.20

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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.