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Finding the Fourth Proportional to 97,449.78, 146,162.52 and 27,334.56

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Solution

The fourth proportional to 97,449.78, 146,162.52 and 27,334.56 is: 40,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449.78 : 146,162.52 = 27,334.56 : x
  2. Step 2: Convert to fraction form
    97,449.78/146,162.52 = 27,334.56/x
  3. Step 3: Cross multiply
    97,449.78x = 146,162.52 × 27,334.56
  4. Step 4: Simplify right side
    97,449.78x = 3,995,288,172.69
  5. Step 5: Solve for x
    x = 3,995,288,172.69/97,449.78
  6. Step 6: Final answer
    x = 40,998.43

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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.