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Finding the Fourth Proportional to 122,081.30, 183,093.25 and 33,313.71

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Solution

The fourth proportional to 122,081.30, 183,093.25 and 33,313.71 is: 49,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,081.30 : 183,093.25 = 33,313.71 : x
  2. Step 2: Convert to fraction form
    122,081.30/183,093.25 = 33,313.71/x
  3. Step 3: Cross multiply
    122,081.30x = 183,093.25 × 33,313.71
  4. Step 4: Simplify right side
    122,081.30x = 6,099,514,507.54
  5. Step 5: Solve for x
    x = 6,099,514,507.54/122,081.30
  6. Step 6: Final answer
    x = 49,962.73

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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.