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Finding the Fourth Proportional to 33,212.76, 49,819.04 and 11,027.82

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Solution

The fourth proportional to 33,212.76, 49,819.04 and 11,027.82 is: 16,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.76 : 49,819.04 = 11,027.82 : x
  2. Step 2: Convert to fraction form
    33,212.76/49,819.04 = 11,027.82/x
  3. Step 3: Cross multiply
    33,212.76x = 49,819.04 × 11,027.82
  4. Step 4: Simplify right side
    33,212.76x = 549,395,405.69
  5. Step 5: Solve for x
    x = 549,395,405.69/33,212.76
  6. Step 6: Final answer
    x = 16,541.70

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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.