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Finding the Fourth Proportional to 36,540.68, 50,425.84 and 20,625

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Solution

The fourth proportional to 36,540.68, 50,425.84 and 20,625 is: 28,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540.68 : 50,425.84 = 20,625 : x
  2. Step 2: Convert to fraction form
    36,540.68/50,425.84 = 20,625/x
  3. Step 3: Cross multiply
    36,540.68x = 50,425.84 × 20,625
  4. Step 4: Simplify right side
    36,540.68x = 1,040,032,950.00
  5. Step 5: Solve for x
    x = 1,040,032,950.00/36,540.68
  6. Step 6: Final answer
    x = 28,462.33

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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.