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Finding the Fourth Proportional to 36,847.41, 50,849.47 and 20,080.41

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Solution

The fourth proportional to 36,847.41, 50,849.47 and 20,080.41 is: 27,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847.41 : 50,849.47 = 20,080.41 : x
  2. Step 2: Convert to fraction form
    36,847.41/50,849.47 = 20,080.41/x
  3. Step 3: Cross multiply
    36,847.41x = 50,849.47 × 20,080.41
  4. Step 4: Simplify right side
    36,847.41x = 1,021,078,040.30
  5. Step 5: Solve for x
    x = 1,021,078,040.30/36,847.41
  6. Step 6: Final answer
    x = 27,710.99

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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.