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Finding the Fourth Proportional to 36,493.13, 54,739.60 and 8,791.13

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Solution

The fourth proportional to 36,493.13, 54,739.60 and 8,791.13 is: 13,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.13 : 54,739.60 = 8,791.13 : x
  2. Step 2: Convert to fraction form
    36,493.13/54,739.60 = 8,791.13/x
  3. Step 3: Cross multiply
    36,493.13x = 54,739.60 × 8,791.13
  4. Step 4: Simplify right side
    36,493.13x = 481,223,054.62
  5. Step 5: Solve for x
    x = 481,223,054.62/36,493.13
  6. Step 6: Final answer
    x = 13,186.67

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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.