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Finding the Fourth Proportional to 54,344.40, 81,429.12 and 33,524.16

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Solution

The fourth proportional to 54,344.40, 81,429.12 and 33,524.16 is: 50,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344.40 : 81,429.12 = 33,524.16 : x
  2. Step 2: Convert to fraction form
    54,344.40/81,429.12 = 33,524.16/x
  3. Step 3: Cross multiply
    54,344.40x = 81,429.12 × 33,524.16
  4. Step 4: Simplify right side
    54,344.40x = 2,729,842,847.54
  5. Step 5: Solve for x
    x = 2,729,842,847.54/54,344.40
  6. Step 6: Final answer
    x = 50,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.