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Finding the Fourth Proportional to 33,454, 50,184.24 and 11,272.96

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Solution

The fourth proportional to 33,454, 50,184.24 and 11,272.96 is: 16,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 50,184.24 = 11,272.96 : x
  2. Step 2: Convert to fraction form
    33,454/50,184.24 = 11,272.96/x
  3. Step 3: Cross multiply
    33,454x = 50,184.24 × 11,272.96
  4. Step 4: Simplify right side
    33,454x = 565,724,930.15
  5. Step 5: Solve for x
    x = 565,724,930.15/33,454
  6. Step 6: Final answer
    x = 16,910.53

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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.