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Finding the Fourth Proportional to 31,844.86, 43,945.59 and 17,697.42

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Solution

The fourth proportional to 31,844.86, 43,945.59 and 17,697.42 is: 24,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844.86 : 43,945.59 = 17,697.42 : x
  2. Step 2: Convert to fraction form
    31,844.86/43,945.59 = 17,697.42/x
  3. Step 3: Cross multiply
    31,844.86x = 43,945.59 × 17,697.42
  4. Step 4: Simplify right side
    31,844.86x = 777,723,563.38
  5. Step 5: Solve for x
    x = 777,723,563.38/31,844.86
  6. Step 6: Final answer
    x = 24,422.26

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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.