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Finding the Fourth Proportional to 39,764, 54,874.32 and 22,997

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Solution

The fourth proportional to 39,764, 54,874.32 and 22,997 is: 31,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,764 : 54,874.32 = 22,997 : x
  2. Step 2: Convert to fraction form
    39,764/54,874.32 = 22,997/x
  3. Step 3: Cross multiply
    39,764x = 54,874.32 × 22,997
  4. Step 4: Simplify right side
    39,764x = 1,261,944,737.04
  5. Step 5: Solve for x
    x = 1,261,944,737.04/39,764
  6. Step 6: Final answer
    x = 31,735.86

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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.