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Finding the Fourth Proportional to 31,645.71, 43,690.03 and 19,725.20

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Solution

The fourth proportional to 31,645.71, 43,690.03 and 19,725.20 is: 27,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.71 : 43,690.03 = 19,725.20 : x
  2. Step 2: Convert to fraction form
    31,645.71/43,690.03 = 19,725.20/x
  3. Step 3: Cross multiply
    31,645.71x = 43,690.03 × 19,725.20
  4. Step 4: Simplify right side
    31,645.71x = 861,794,463.91
  5. Step 5: Solve for x
    x = 861,794,463.91/31,645.71
  6. Step 6: Final answer
    x = 27,232.58

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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.