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Finding the Fourth Proportional to 31,782.76, 43,859.46 and 17,635.24

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Solution

The fourth proportional to 31,782.76, 43,859.46 and 17,635.24 is: 24,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.76 : 43,859.46 = 17,635.24 : x
  2. Step 2: Convert to fraction form
    31,782.76/43,859.46 = 17,635.24/x
  3. Step 3: Cross multiply
    31,782.76x = 43,859.46 × 17,635.24
  4. Step 4: Simplify right side
    31,782.76x = 773,472,103.37
  5. Step 5: Solve for x
    x = 773,472,103.37/31,782.76
  6. Step 6: Final answer
    x = 24,336.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.