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Finding the Fourth Proportional to 36,096.42, 49,814.56 and 20,180.83

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Solution

The fourth proportional to 36,096.42, 49,814.56 and 20,180.83 is: 27,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096.42 : 49,814.56 = 20,180.83 : x
  2. Step 2: Convert to fraction form
    36,096.42/49,814.56 = 20,180.83/x
  3. Step 3: Cross multiply
    36,096.42x = 49,814.56 × 20,180.83
  4. Step 4: Simplify right side
    36,096.42x = 1,005,299,166.88
  5. Step 5: Solve for x
    x = 1,005,299,166.88/36,096.42
  6. Step 6: Final answer
    x = 27,850.38

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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.