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Finding the Fourth Proportional to 39,382.72, 54,361.32 and 23,472.16

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Solution

The fourth proportional to 39,382.72, 54,361.32 and 23,472.16 is: 32,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.72 : 54,361.32 = 23,472.16 : x
  2. Step 2: Convert to fraction form
    39,382.72/54,361.32 = 23,472.16/x
  3. Step 3: Cross multiply
    39,382.72x = 54,361.32 × 23,472.16
  4. Step 4: Simplify right side
    39,382.72x = 1,275,977,600.85
  5. Step 5: Solve for x
    x = 1,275,977,600.85/39,382.72
  6. Step 6: Final answer
    x = 32,399.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.