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Finding the Fourth Proportional to 36,713.50, 55,067.42 and 11,756.16

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Solution

The fourth proportional to 36,713.50, 55,067.42 and 11,756.16 is: 17,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,713.50 : 55,067.42 = 11,756.16 : x
  2. Step 2: Convert to fraction form
    36,713.50/55,067.42 = 11,756.16/x
  3. Step 3: Cross multiply
    36,713.50x = 55,067.42 × 11,756.16
  4. Step 4: Simplify right side
    36,713.50x = 647,381,400.31
  5. Step 5: Solve for x
    x = 647,381,400.31/36,713.50
  6. Step 6: Final answer
    x = 17,633.33

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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.