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Finding the Fourth Proportional to 97,324.80, 145,976.40 and 27,211.20

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Solution

The fourth proportional to 97,324.80, 145,976.40 and 27,211.20 is: 40,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324.80 : 145,976.40 = 27,211.20 : x
  2. Step 2: Convert to fraction form
    97,324.80/145,976.40 = 27,211.20/x
  3. Step 3: Cross multiply
    97,324.80x = 145,976.40 × 27,211.20
  4. Step 4: Simplify right side
    97,324.80x = 3,972,193,015.68
  5. Step 5: Solve for x
    x = 3,972,193,015.68/97,324.80
  6. Step 6: Final answer
    x = 40,813.78

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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.