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Finding the Fourth Proportional to 31,759.17, 43,824.08 and 19,654.13

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Solution

The fourth proportional to 31,759.17, 43,824.08 and 19,654.13 is: 27,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.17 : 43,824.08 = 19,654.13 : x
  2. Step 2: Convert to fraction form
    31,759.17/43,824.08 = 19,654.13/x
  3. Step 3: Cross multiply
    31,759.17x = 43,824.08 × 19,654.13
  4. Step 4: Simplify right side
    31,759.17x = 861,323,848.06
  5. Step 5: Solve for x
    x = 861,323,848.06/31,759.17
  6. Step 6: Final answer
    x = 27,120.48

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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.