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Finding the Fourth Proportional to 111,846.42, 167,647.98 and 55,728

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Solution

The fourth proportional to 111,846.42, 167,647.98 and 55,728 is: 83,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,846.42 : 167,647.98 = 55,728 : x
  2. Step 2: Convert to fraction form
    111,846.42/167,647.98 = 55,728/x
  3. Step 3: Cross multiply
    111,846.42x = 167,647.98 × 55,728
  4. Step 4: Simplify right side
    111,846.42x = 9,342,686,629.44
  5. Step 5: Solve for x
    x = 9,342,686,629.44/111,846.42
  6. Step 6: Final answer
    x = 83,531.39

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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.