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Finding the Fourth Proportional to 36,438.50, 50,276.49 and 20,519.78

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Solution

The fourth proportional to 36,438.50, 50,276.49 and 20,519.78 is: 28,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438.50 : 50,276.49 = 20,519.78 : x
  2. Step 2: Convert to fraction form
    36,438.50/50,276.49 = 20,519.78/x
  3. Step 3: Cross multiply
    36,438.50x = 50,276.49 × 20,519.78
  4. Step 4: Simplify right side
    36,438.50x = 1,031,662,513.97
  5. Step 5: Solve for x
    x = 1,031,662,513.97/36,438.50
  6. Step 6: Final answer
    x = 28,312.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.