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Finding the Fourth Proportional to 100,396.42, 150,563.18 and 36,346.48

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Solution

The fourth proportional to 100,396.42, 150,563.18 and 36,346.48 is: 54,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.42 : 150,563.18 = 36,346.48 : x
  2. Step 2: Convert to fraction form
    100,396.42/150,563.18 = 36,346.48/x
  3. Step 3: Cross multiply
    100,396.42x = 150,563.18 × 36,346.48
  4. Step 4: Simplify right side
    100,396.42x = 5,472,441,610.61
  5. Step 5: Solve for x
    x = 5,472,441,610.61/100,396.42
  6. Step 6: Final answer
    x = 54,508.33

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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.