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Finding the Fourth Proportional to 33,498.84, 50,212.98 and 11,291.16

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Solution

The fourth proportional to 33,498.84, 50,212.98 and 11,291.16 is: 16,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498.84 : 50,212.98 = 11,291.16 : x
  2. Step 2: Convert to fraction form
    33,498.84/50,212.98 = 11,291.16/x
  3. Step 3: Cross multiply
    33,498.84x = 50,212.98 × 11,291.16
  4. Step 4: Simplify right side
    33,498.84x = 566,962,791.26
  5. Step 5: Solve for x
    x = 566,962,791.26/33,498.84
  6. Step 6: Final answer
    x = 16,924.85

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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.