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Finding the Fourth Proportional to 83,801.25, 125,674.87 and 27,628.29

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Solution

The fourth proportional to 83,801.25, 125,674.87 and 27,628.29 is: 41,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801.25 : 125,674.87 = 27,628.29 : x
  2. Step 2: Convert to fraction form
    83,801.25/125,674.87 = 27,628.29/x
  3. Step 3: Cross multiply
    83,801.25x = 125,674.87 × 27,628.29
  4. Step 4: Simplify right side
    83,801.25x = 3,472,181,754.07
  5. Step 5: Solve for x
    x = 3,472,181,754.07/83,801.25
  6. Step 6: Final answer
    x = 41,433.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.