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Finding the Fourth Proportional to 36,338.40, 54,542.40 and 18,820.80

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Solution

The fourth proportional to 36,338.40, 54,542.40 and 18,820.80 is: 28,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338.40 : 54,542.40 = 18,820.80 : x
  2. Step 2: Convert to fraction form
    36,338.40/54,542.40 = 18,820.80/x
  3. Step 3: Cross multiply
    36,338.40x = 54,542.40 × 18,820.80
  4. Step 4: Simplify right side
    36,338.40x = 1,026,531,601.92
  5. Step 5: Solve for x
    x = 1,026,531,601.92/36,338.40
  6. Step 6: Final answer
    x = 28,249.22

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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.