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Finding the Fourth Proportional to 36,436.38, 50,304.07 and 23,883

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Solution

The fourth proportional to 36,436.38, 50,304.07 and 23,883 is: 32,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,436.38 : 50,304.07 = 23,883 : x
  2. Step 2: Convert to fraction form
    36,436.38/50,304.07 = 23,883/x
  3. Step 3: Cross multiply
    36,436.38x = 50,304.07 × 23,883
  4. Step 4: Simplify right side
    36,436.38x = 1,201,412,103.81
  5. Step 5: Solve for x
    x = 1,201,412,103.81/36,436.38
  6. Step 6: Final answer
    x = 32,972.87

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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.