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Finding the Fourth Proportional to 36,649.67, 54,975.71 and 11,691.14

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Solution

The fourth proportional to 36,649.67, 54,975.71 and 11,691.14 is: 17,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.67 : 54,975.71 = 11,691.14 : x
  2. Step 2: Convert to fraction form
    36,649.67/54,975.71 = 11,691.14/x
  3. Step 3: Cross multiply
    36,649.67x = 54,975.71 × 11,691.14
  4. Step 4: Simplify right side
    36,649.67x = 642,728,476.56
  5. Step 5: Solve for x
    x = 642,728,476.56/36,649.67
  6. Step 6: Final answer
    x = 17,537.09

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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.