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Finding the Fourth Proportional to 27,835.75, 41,649 and 19,531.97

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Solution

The fourth proportional to 27,835.75, 41,649 and 19,531.97 is: 29,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.75 : 41,649 = 19,531.97 : x
  2. Step 2: Convert to fraction form
    27,835.75/41,649 = 19,531.97/x
  3. Step 3: Cross multiply
    27,835.75x = 41,649 × 19,531.97
  4. Step 4: Simplify right side
    27,835.75x = 813,487,018.53
  5. Step 5: Solve for x
    x = 813,487,018.53/27,835.75
  6. Step 6: Final answer
    x = 29,224.54

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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.