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Finding the Fourth Proportional to 50,633.79, 69,874.41 and 27,972.78

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Solution

The fourth proportional to 50,633.79, 69,874.41 and 27,972.78 is: 38,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,633.79 : 69,874.41 = 27,972.78 : x
  2. Step 2: Convert to fraction form
    50,633.79/69,874.41 = 27,972.78/x
  3. Step 3: Cross multiply
    50,633.79x = 69,874.41 × 27,972.78
  4. Step 4: Simplify right side
    50,633.79x = 1,954,581,603.31
  5. Step 5: Solve for x
    x = 1,954,581,603.31/50,633.79
  6. Step 6: Final answer
    x = 38,602.32

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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.