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Finding the Fourth Proportional to 100,563.40, 150,845.10 and 30,446.20

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Solution

The fourth proportional to 100,563.40, 150,845.10 and 30,446.20 is: 45,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.40 : 150,845.10 = 30,446.20 : x
  2. Step 2: Convert to fraction form
    100,563.40/150,845.10 = 30,446.20/x
  3. Step 3: Cross multiply
    100,563.40x = 150,845.10 × 30,446.20
  4. Step 4: Simplify right side
    100,563.40x = 4,592,660,083.62
  5. Step 5: Solve for x
    x = 4,592,660,083.62/100,563.40
  6. Step 6: Final answer
    x = 45,669.30

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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.