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Finding the Fourth Proportional to 33,227.16, 49,840.92 and 9,853.80

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Solution

The fourth proportional to 33,227.16, 49,840.92 and 9,853.80 is: 14,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.16 : 49,840.92 = 9,853.80 : x
  2. Step 2: Convert to fraction form
    33,227.16/49,840.92 = 9,853.80/x
  3. Step 3: Cross multiply
    33,227.16x = 49,840.92 × 9,853.80
  4. Step 4: Simplify right side
    33,227.16x = 491,122,457.50
  5. Step 5: Solve for x
    x = 491,122,457.50/33,227.16
  6. Step 6: Final answer
    x = 14,780.75

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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.