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Finding the Fourth Proportional to 36,820.26, 50,814.87 and 20,905.38

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Solution

The fourth proportional to 36,820.26, 50,814.87 and 20,905.38 is: 28,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820.26 : 50,814.87 = 20,905.38 : x
  2. Step 2: Convert to fraction form
    36,820.26/50,814.87 = 20,905.38/x
  3. Step 3: Cross multiply
    36,820.26x = 50,814.87 × 20,905.38
  4. Step 4: Simplify right side
    36,820.26x = 1,062,304,167.00
  5. Step 5: Solve for x
    x = 1,062,304,167.00/36,820.26
  6. Step 6: Final answer
    x = 28,851.08

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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.