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Finding the Fourth Proportional to 100,295.49, 150,442.02 and 24,394.44

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Solution

The fourth proportional to 100,295.49, 150,442.02 and 24,394.44 is: 36,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.49 : 150,442.02 = 24,394.44 : x
  2. Step 2: Convert to fraction form
    100,295.49/150,442.02 = 24,394.44/x
  3. Step 3: Cross multiply
    100,295.49x = 150,442.02 × 24,394.44
  4. Step 4: Simplify right side
    100,295.49x = 3,669,948,830.37
  5. Step 5: Solve for x
    x = 3,669,948,830.37/100,295.49
  6. Step 6: Final answer
    x = 36,591.36

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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.