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Finding the Fourth Proportional to 31,781.88, 43,859.00 and 17,634.82

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Solution

The fourth proportional to 31,781.88, 43,859.00 and 17,634.82 is: 24,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.88 : 43,859.00 = 17,634.82 : x
  2. Step 2: Convert to fraction form
    31,781.88/43,859.00 = 17,634.82/x
  3. Step 3: Cross multiply
    31,781.88x = 43,859.00 × 17,634.82
  4. Step 4: Simplify right side
    31,781.88x = 773,445,482.21
  5. Step 5: Solve for x
    x = 773,445,482.21/31,781.88
  6. Step 6: Final answer
    x = 24,336.06

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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.