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Finding the Fourth Proportional to 27,648.88, 41,431.30 and 20,258.24

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Solution

The fourth proportional to 27,648.88, 41,431.30 and 20,258.24 is: 30,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.88 : 41,431.30 = 20,258.24 : x
  2. Step 2: Convert to fraction form
    27,648.88/41,431.30 = 20,258.24/x
  3. Step 3: Cross multiply
    27,648.88x = 41,431.30 × 20,258.24
  4. Step 4: Simplify right side
    27,648.88x = 839,324,961.11
  5. Step 5: Solve for x
    x = 839,324,961.11/27,648.88
  6. Step 6: Final answer
    x = 30,356.57

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