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Finding the Fourth Proportional to 73,291.44, 109,945.12 and 23,359.80

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Solution

The fourth proportional to 73,291.44, 109,945.12 and 23,359.80 is: 35,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291.44 : 109,945.12 = 23,359.80 : x
  2. Step 2: Convert to fraction form
    73,291.44/109,945.12 = 23,359.80/x
  3. Step 3: Cross multiply
    73,291.44x = 109,945.12 × 23,359.80
  4. Step 4: Simplify right side
    73,291.44x = 2,568,296,014.18
  5. Step 5: Solve for x
    x = 2,568,296,014.18/73,291.44
  6. Step 6: Final answer
    x = 35,042.24

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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.