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Finding the Fourth Proportional to 36,805.53, 55,197.36 and 13,426.50

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Solution

The fourth proportional to 36,805.53, 55,197.36 and 13,426.50 is: 20,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805.53 : 55,197.36 = 13,426.50 : x
  2. Step 2: Convert to fraction form
    36,805.53/55,197.36 = 13,426.50/x
  3. Step 3: Cross multiply
    36,805.53x = 55,197.36 × 13,426.50
  4. Step 4: Simplify right side
    36,805.53x = 741,107,354.04
  5. Step 5: Solve for x
    x = 741,107,354.04/36,805.53
  6. Step 6: Final answer
    x = 20,135.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.