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Finding the Fourth Proportional to 33,209.21, 49,821.09 and 9,837.47

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Solution

The fourth proportional to 33,209.21, 49,821.09 and 9,837.47 is: 14,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.21 : 49,821.09 = 9,837.47 : x
  2. Step 2: Convert to fraction form
    33,209.21/49,821.09 = 9,837.47/x
  3. Step 3: Cross multiply
    33,209.21x = 49,821.09 × 9,837.47
  4. Step 4: Simplify right side
    33,209.21x = 490,113,229.14
  5. Step 5: Solve for x
    x = 490,113,229.14/33,209.21
  6. Step 6: Final answer
    x = 14,758.35

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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.