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Finding the Fourth Proportional to 27,797.67, 38,382.89 and 25,672.41

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Solution

The fourth proportional to 27,797.67, 38,382.89 and 25,672.41 is: 35,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.67 : 38,382.89 = 25,672.41 : x
  2. Step 2: Convert to fraction form
    27,797.67/38,382.89 = 25,672.41/x
  3. Step 3: Cross multiply
    27,797.67x = 38,382.89 × 25,672.41
  4. Step 4: Simplify right side
    27,797.67x = 985,381,160.70
  5. Step 5: Solve for x
    x = 985,381,160.70/27,797.67
  6. Step 6: Final answer
    x = 35,448.34

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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.