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Finding the Fourth Proportional to 100,242.82, 150,381.60 and 33,689.44

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Solution

The fourth proportional to 100,242.82, 150,381.60 and 33,689.44 is: 50,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.82 : 150,381.60 = 33,689.44 : x
  2. Step 2: Convert to fraction form
    100,242.82/150,381.60 = 33,689.44/x
  3. Step 3: Cross multiply
    100,242.82x = 150,381.60 × 33,689.44
  4. Step 4: Simplify right side
    100,242.82x = 5,066,271,890.30
  5. Step 5: Solve for x
    x = 5,066,271,890.30/100,242.82
  6. Step 6: Final answer
    x = 50,540.00

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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.