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Finding the Fourth Proportional to 62,832.96, 94,249.44 and 23,400

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Solution

The fourth proportional to 62,832.96, 94,249.44 and 23,400 is: 35,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,832.96 : 94,249.44 = 23,400 : x
  2. Step 2: Convert to fraction form
    62,832.96/94,249.44 = 23,400/x
  3. Step 3: Cross multiply
    62,832.96x = 94,249.44 × 23,400
  4. Step 4: Simplify right side
    62,832.96x = 2,205,436,896
  5. Step 5: Solve for x
    x = 2,205,436,896/62,832.96
  6. Step 6: Final answer
    x = 35,100

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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.