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Finding the Fourth Proportional to 33,064.39, 49,596.99 and 9,691.30

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Solution

The fourth proportional to 33,064.39, 49,596.99 and 9,691.30 is: 14,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.39 : 49,596.99 = 9,691.30 : x
  2. Step 2: Convert to fraction form
    33,064.39/49,596.99 = 9,691.30/x
  3. Step 3: Cross multiply
    33,064.39x = 49,596.99 × 9,691.30
  4. Step 4: Simplify right side
    33,064.39x = 480,659,309.19
  5. Step 5: Solve for x
    x = 480,659,309.19/33,064.39
  6. Step 6: Final answer
    x = 14,537.07

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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.