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Finding the Fourth Proportional to 36,649.38, 50,576.13 and 19,882.38

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Solution

The fourth proportional to 36,649.38, 50,576.13 and 19,882.38 is: 27,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.38 : 50,576.13 = 19,882.38 : x
  2. Step 2: Convert to fraction form
    36,649.38/50,576.13 = 19,882.38/x
  3. Step 3: Cross multiply
    36,649.38x = 50,576.13 × 19,882.38
  4. Step 4: Simplify right side
    36,649.38x = 1,005,573,835.59
  5. Step 5: Solve for x
    x = 1,005,573,835.59/36,649.38
  6. Step 6: Final answer
    x = 27,437.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.