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Finding the Fourth Proportional to 48,241.56, 66,578.28 and 27,824.43

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Solution

The fourth proportional to 48,241.56, 66,578.28 and 27,824.43 is: 38,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,241.56 : 66,578.28 = 27,824.43 : x
  2. Step 2: Convert to fraction form
    48,241.56/66,578.28 = 27,824.43/x
  3. Step 3: Cross multiply
    48,241.56x = 66,578.28 × 27,824.43
  4. Step 4: Simplify right side
    48,241.56x = 1,852,502,691.38
  5. Step 5: Solve for x
    x = 1,852,502,691.38/48,241.56
  6. Step 6: Final answer
    x = 38,400.56

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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.