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Finding the Fourth Proportional to 45,452.57, 68,178.78 and 20,463.42

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Solution

The fourth proportional to 45,452.57, 68,178.78 and 20,463.42 is: 30,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,452.57 : 68,178.78 = 20,463.42 : x
  2. Step 2: Convert to fraction form
    45,452.57/68,178.78 = 20,463.42/x
  3. Step 3: Cross multiply
    45,452.57x = 68,178.78 × 20,463.42
  4. Step 4: Simplify right side
    45,452.57x = 1,395,171,010.23
  5. Step 5: Solve for x
    x = 1,395,171,010.23/45,452.57
  6. Step 6: Final answer
    x = 30,695.10

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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.