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Finding the Fourth Proportional to 32,716.50, 49,099.56 and 23,974.26

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Solution

The fourth proportional to 32,716.50, 49,099.56 and 23,974.26 is: 35,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716.50 : 49,099.56 = 23,974.26 : x
  2. Step 2: Convert to fraction form
    32,716.50/49,099.56 = 23,974.26/x
  3. Step 3: Cross multiply
    32,716.50x = 49,099.56 × 23,974.26
  4. Step 4: Simplify right side
    32,716.50x = 1,177,125,617.33
  5. Step 5: Solve for x
    x = 1,177,125,617.33/32,716.50
  6. Step 6: Final answer
    x = 35,979.57

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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.