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Finding the Fourth Proportional to 98,591.54, 147,912.25 and 27,514.17

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Solution

The fourth proportional to 98,591.54, 147,912.25 and 27,514.17 is: 41,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,591.54 : 147,912.25 = 27,514.17 : x
  2. Step 2: Convert to fraction form
    98,591.54/147,912.25 = 27,514.17/x
  3. Step 3: Cross multiply
    98,591.54x = 147,912.25 × 27,514.17
  4. Step 4: Simplify right side
    98,591.54x = 4,069,682,791.58
  5. Step 5: Solve for x
    x = 4,069,682,791.58/98,591.54
  6. Step 6: Final answer
    x = 41,278.22

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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.