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Finding the Fourth Proportional to 94,198.44, 129,993.45 and 53,912

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Solution

The fourth proportional to 94,198.44, 129,993.45 and 53,912 is: 74,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,198.44 : 129,993.45 = 53,912 : x
  2. Step 2: Convert to fraction form
    94,198.44/129,993.45 = 53,912/x
  3. Step 3: Cross multiply
    94,198.44x = 129,993.45 × 53,912
  4. Step 4: Simplify right side
    94,198.44x = 7,008,206,876.40
  5. Step 5: Solve for x
    x = 7,008,206,876.40/94,198.44
  6. Step 6: Final answer
    x = 74,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.