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Finding the Fourth Proportional to 50,652.22, 69,896.57 and 27,991

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Solution

The fourth proportional to 50,652.22, 69,896.57 and 27,991 is: 38,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.22 : 69,896.57 = 27,991 : x
  2. Step 2: Convert to fraction form
    50,652.22/69,896.57 = 27,991/x
  3. Step 3: Cross multiply
    50,652.22x = 69,896.57 × 27,991
  4. Step 4: Simplify right side
    50,652.22x = 1,956,474,890.87
  5. Step 5: Solve for x
    x = 1,956,474,890.87/50,652.22
  6. Step 6: Final answer
    x = 38,625.65

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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.