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Finding the Fourth Proportional to 36,616.87, 50,536.67 and 23,189.38

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Solution

The fourth proportional to 36,616.87, 50,536.67 and 23,189.38 is: 32,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616.87 : 50,536.67 = 23,189.38 : x
  2. Step 2: Convert to fraction form
    36,616.87/50,536.67 = 23,189.38/x
  3. Step 3: Cross multiply
    36,616.87x = 50,536.67 × 23,189.38
  4. Step 4: Simplify right side
    36,616.87x = 1,171,913,894.26
  5. Step 5: Solve for x
    x = 1,171,913,894.26/36,616.87
  6. Step 6: Final answer
    x = 32,004.75

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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.