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Finding the Fourth Proportional to 33,008.70, 49,495.13 and 11,650.72

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Solution

The fourth proportional to 33,008.70, 49,495.13 and 11,650.72 is: 17,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.70 : 49,495.13 = 11,650.72 : x
  2. Step 2: Convert to fraction form
    33,008.70/49,495.13 = 11,650.72/x
  3. Step 3: Cross multiply
    33,008.70x = 49,495.13 × 11,650.72
  4. Step 4: Simplify right side
    33,008.70x = 576,653,900.99
  5. Step 5: Solve for x
    x = 576,653,900.99/33,008.70
  6. Step 6: Final answer
    x = 17,469.75

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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.