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Finding the Fourth Proportional to 100,496.04, 150,743.90 and 38,166.44

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Solution

The fourth proportional to 100,496.04, 150,743.90 and 38,166.44 is: 57,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,496.04 : 150,743.90 = 38,166.44 : x
  2. Step 2: Convert to fraction form
    100,496.04/150,743.90 = 38,166.44/x
  3. Step 3: Cross multiply
    100,496.04x = 150,743.90 × 38,166.44
  4. Step 4: Simplify right side
    100,496.04x = 5,753,358,014.72
  5. Step 5: Solve for x
    x = 5,753,358,014.72/100,496.04
  6. Step 6: Final answer
    x = 57,249.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.