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Finding the Fourth Proportional to 111,032.48, 166,542.24 and 27,920

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Solution

The fourth proportional to 111,032.48, 166,542.24 and 27,920 is: 41,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,032.48 : 166,542.24 = 27,920 : x
  2. Step 2: Convert to fraction form
    111,032.48/166,542.24 = 27,920/x
  3. Step 3: Cross multiply
    111,032.48x = 166,542.24 × 27,920
  4. Step 4: Simplify right side
    111,032.48x = 4,649,859,340.80
  5. Step 5: Solve for x
    x = 4,649,859,340.80/111,032.48
  6. Step 6: Final answer
    x = 41,878.37

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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.