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Finding the Fourth Proportional to 55,998, 83,997 and 23,166

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Solution

The fourth proportional to 55,998, 83,997 and 23,166 is: 34,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998 : 83,997 = 23,166 : x
  2. Step 2: Convert to fraction form
    55,998/83,997 = 23,166/x
  3. Step 3: Cross multiply
    55,998x = 83,997 × 23,166
  4. Step 4: Simplify right side
    55,998x = 1,945,874,502
  5. Step 5: Solve for x
    x = 1,945,874,502/55,998
  6. Step 6: Final answer
    x = 34,749

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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.