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Finding the Fourth Proportional to 100,453, 150,589.92 and 38,167.24

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Solution

The fourth proportional to 100,453, 150,589.92 and 38,167.24 is: 57,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,453 : 150,589.92 = 38,167.24 : x
  2. Step 2: Convert to fraction form
    100,453/150,589.92 = 38,167.24/x
  3. Step 3: Cross multiply
    100,453x = 150,589.92 × 38,167.24
  4. Step 4: Simplify right side
    100,453x = 5,747,601,618.22
  5. Step 5: Solve for x
    x = 5,747,601,618.22/100,453
  6. Step 6: Final answer
    x = 57,216.82

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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.