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Finding the Fourth Proportional to 50,632, 69,871.87 and 27,972.55

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Solution

The fourth proportional to 50,632, 69,871.87 and 27,972.55 is: 38,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632 : 69,871.87 = 27,972.55 : x
  2. Step 2: Convert to fraction form
    50,632/69,871.87 = 27,972.55/x
  3. Step 3: Cross multiply
    50,632x = 69,871.87 × 27,972.55
  4. Step 4: Simplify right side
    50,632x = 1,954,494,377.17
  5. Step 5: Solve for x
    x = 1,954,494,377.17/50,632
  6. Step 6: Final answer
    x = 38,601.96

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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.