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Finding the Fourth Proportional to 38,422.84, 57,584.26 and 19,687

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Solution

The fourth proportional to 38,422.84, 57,584.26 and 19,687 is: 29,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.84 : 57,584.26 = 19,687 : x
  2. Step 2: Convert to fraction form
    38,422.84/57,584.26 = 19,687/x
  3. Step 3: Cross multiply
    38,422.84x = 57,584.26 × 19,687
  4. Step 4: Simplify right side
    38,422.84x = 1,133,661,326.62
  5. Step 5: Solve for x
    x = 1,133,661,326.62/38,422.84
  6. Step 6: Final answer
    x = 29,504.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.