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Finding the Fourth Proportional to 100,296.49, 150,443.52 and 24,395.44

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Solution

The fourth proportional to 100,296.49, 150,443.52 and 24,395.44 is: 36,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296.49 : 150,443.52 = 24,395.44 : x
  2. Step 2: Convert to fraction form
    100,296.49/150,443.52 = 24,395.44/x
  3. Step 3: Cross multiply
    100,296.49x = 150,443.52 × 24,395.44
  4. Step 4: Simplify right side
    100,296.49x = 3,670,135,865.55
  5. Step 5: Solve for x
    x = 3,670,135,865.55/100,296.49
  6. Step 6: Final answer
    x = 36,592.86

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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.