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Finding the Fourth Proportional to 33,212.88, 49,825.20 and 11,023.92

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Solution

The fourth proportional to 33,212.88, 49,825.20 and 11,023.92 is: 16,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.88 : 49,825.20 = 11,023.92 : x
  2. Step 2: Convert to fraction form
    33,212.88/49,825.20 = 11,023.92/x
  3. Step 3: Cross multiply
    33,212.88x = 49,825.20 × 11,023.92
  4. Step 4: Simplify right side
    33,212.88x = 549,269,018.78
  5. Step 5: Solve for x
    x = 549,269,018.78/33,212.88
  6. Step 6: Final answer
    x = 16,537.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.