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Finding the Fourth Proportional to 36,847.82, 50,849.74 and 20,932.27

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Solution

The fourth proportional to 36,847.82, 50,849.74 and 20,932.27 is: 28,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847.82 : 50,849.74 = 20,932.27 : x
  2. Step 2: Convert to fraction form
    36,847.82/50,849.74 = 20,932.27/x
  3. Step 3: Cross multiply
    36,847.82x = 50,849.74 × 20,932.27
  4. Step 4: Simplify right side
    36,847.82x = 1,064,400,576.84
  5. Step 5: Solve for x
    x = 1,064,400,576.84/36,847.82
  6. Step 6: Final answer
    x = 28,886.39

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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.