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Finding the Fourth Proportional to 27,311.01, 40,974.21 and 24,708.48

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Solution

The fourth proportional to 27,311.01, 40,974.21 and 24,708.48 is: 37,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.01 : 40,974.21 = 24,708.48 : x
  2. Step 2: Convert to fraction form
    27,311.01/40,974.21 = 24,708.48/x
  3. Step 3: Cross multiply
    27,311.01x = 40,974.21 × 24,708.48
  4. Step 4: Simplify right side
    27,311.01x = 1,012,410,448.30
  5. Step 5: Solve for x
    x = 1,012,410,448.30/27,311.01
  6. Step 6: Final answer
    x = 37,069.68

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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.