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Finding the Fourth Proportional to 36,523.13, 50,401.70 and 20,389.50

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Solution

The fourth proportional to 36,523.13, 50,401.70 and 20,389.50 is: 28,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.13 : 50,401.70 = 20,389.50 : x
  2. Step 2: Convert to fraction form
    36,523.13/50,401.70 = 20,389.50/x
  3. Step 3: Cross multiply
    36,523.13x = 50,401.70 × 20,389.50
  4. Step 4: Simplify right side
    36,523.13x = 1,027,665,462.15
  5. Step 5: Solve for x
    x = 1,027,665,462.15/36,523.13
  6. Step 6: Final answer
    x = 28,137.39

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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.