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Finding the Fourth Proportional to 35,963.26, 49,633 and 21,627.78

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Solution

The fourth proportional to 35,963.26, 49,633 and 21,627.78 is: 29,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,963.26 : 49,633 = 21,627.78 : x
  2. Step 2: Convert to fraction form
    35,963.26/49,633 = 21,627.78/x
  3. Step 3: Cross multiply
    35,963.26x = 49,633 × 21,627.78
  4. Step 4: Simplify right side
    35,963.26x = 1,073,451,604.74
  5. Step 5: Solve for x
    x = 1,073,451,604.74/35,963.26
  6. Step 6: Final answer
    x = 29,848.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.