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Finding the Fourth Proportional to 49,852.50, 68,801.31 and 27,496.50

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Solution

The fourth proportional to 49,852.50, 68,801.31 and 27,496.50 is: 37,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.50 : 68,801.31 = 27,496.50 : x
  2. Step 2: Convert to fraction form
    49,852.50/68,801.31 = 27,496.50/x
  3. Step 3: Cross multiply
    49,852.50x = 68,801.31 × 27,496.50
  4. Step 4: Simplify right side
    49,852.50x = 1,891,795,220.42
  5. Step 5: Solve for x
    x = 1,891,795,220.42/49,852.50
  6. Step 6: Final answer
    x = 37,947.85

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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.