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Finding the Fourth Proportional to 55,994, 83,991 and 23,162

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Solution

The fourth proportional to 55,994, 83,991 and 23,162 is: 34,743

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994 : 83,991 = 23,162 : x
  2. Step 2: Convert to fraction form
    55,994/83,991 = 23,162/x
  3. Step 3: Cross multiply
    55,994x = 83,991 × 23,162
  4. Step 4: Simplify right side
    55,994x = 1,945,399,542
  5. Step 5: Solve for x
    x = 1,945,399,542/55,994
  6. Step 6: Final answer
    x = 34,743

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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.