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Finding the Fourth Proportional to 36,101.53, 54,064 and 22,067.47

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Solution

The fourth proportional to 36,101.53, 54,064 and 22,067.47 is: 33,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101.53 : 54,064 = 22,067.47 : x
  2. Step 2: Convert to fraction form
    36,101.53/54,064 = 22,067.47/x
  3. Step 3: Cross multiply
    36,101.53x = 54,064 × 22,067.47
  4. Step 4: Simplify right side
    36,101.53x = 1,193,055,698.08
  5. Step 5: Solve for x
    x = 1,193,055,698.08/36,101.53
  6. Step 6: Final answer
    x = 33,047.23

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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.