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Finding the Fourth Proportional to 73,002.26, 100,743.24 and 39,468.26

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Solution

The fourth proportional to 73,002.26, 100,743.24 and 39,468.26 is: 54,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002.26 : 100,743.24 = 39,468.26 : x
  2. Step 2: Convert to fraction form
    73,002.26/100,743.24 = 39,468.26/x
  3. Step 3: Cross multiply
    73,002.26x = 100,743.24 × 39,468.26
  4. Step 4: Simplify right side
    73,002.26x = 3,976,160,389.56
  5. Step 5: Solve for x
    x = 3,976,160,389.56/73,002.26
  6. Step 6: Final answer
    x = 54,466.26

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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.