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Finding the Fourth Proportional to 36,702, 55,055.75 and 10,408.86

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Solution

The fourth proportional to 36,702, 55,055.75 and 10,408.86 is: 15,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702 : 55,055.75 = 10,408.86 : x
  2. Step 2: Convert to fraction form
    36,702/55,055.75 = 10,408.86/x
  3. Step 3: Cross multiply
    36,702x = 55,055.75 × 10,408.86
  4. Step 4: Simplify right side
    36,702x = 573,067,593.95
  5. Step 5: Solve for x
    x = 573,067,593.95/36,702
  6. Step 6: Final answer
    x = 15,614.07

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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.