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Finding the Fourth Proportional to 73,198.72, 109,791.78 and 23,280.04

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Solution

The fourth proportional to 73,198.72, 109,791.78 and 23,280.04 is: 34,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198.72 : 109,791.78 = 23,280.04 : x
  2. Step 2: Convert to fraction form
    73,198.72/109,791.78 = 23,280.04/x
  3. Step 3: Cross multiply
    73,198.72x = 109,791.78 × 23,280.04
  4. Step 4: Simplify right side
    73,198.72x = 2,555,957,030.07
  5. Step 5: Solve for x
    x = 2,555,957,030.07/73,198.72
  6. Step 6: Final answer
    x = 34,918.06

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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.