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Finding the Fourth Proportional to 31,843.32, 43,945.38 and 17,697.48

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Solution

The fourth proportional to 31,843.32, 43,945.38 and 17,697.48 is: 24,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.32 : 43,945.38 = 17,697.48 : x
  2. Step 2: Convert to fraction form
    31,843.32/43,945.38 = 17,697.48/x
  3. Step 3: Cross multiply
    31,843.32x = 43,945.38 × 17,697.48
  4. Step 4: Simplify right side
    31,843.32x = 777,722,483.64
  5. Step 5: Solve for x
    x = 777,722,483.64/31,843.32
  6. Step 6: Final answer
    x = 24,423.41

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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.