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Finding the Fourth Proportional to 31,843.76, 43,943.52 and 17,696.24

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Solution

The fourth proportional to 31,843.76, 43,943.52 and 17,696.24 is: 24,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.76 : 43,943.52 = 17,696.24 : x
  2. Step 2: Convert to fraction form
    31,843.76/43,943.52 = 17,696.24/x
  3. Step 3: Cross multiply
    31,843.76x = 43,943.52 × 17,696.24
  4. Step 4: Simplify right side
    31,843.76x = 777,635,076.36
  5. Step 5: Solve for x
    x = 777,635,076.36/31,843.76
  6. Step 6: Final answer
    x = 24,420.33

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1.5x scale

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.