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Finding the Fourth Proportional to 68,348.82, 102,523.86 and 23,976.60

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Solution

The fourth proportional to 68,348.82, 102,523.86 and 23,976.60 is: 35,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,348.82 : 102,523.86 = 23,976.60 : x
  2. Step 2: Convert to fraction form
    68,348.82/102,523.86 = 23,976.60/x
  3. Step 3: Cross multiply
    68,348.82x = 102,523.86 × 23,976.60
  4. Step 4: Simplify right side
    68,348.82x = 2,458,173,581.68
  5. Step 5: Solve for x
    x = 2,458,173,581.68/68,348.82
  6. Step 6: Final answer
    x = 35,965.12

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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.