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Finding the Fourth Proportional to 54,942.98, 75,821.36 and 29,792.48

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Solution

The fourth proportional to 54,942.98, 75,821.36 and 29,792.48 is: 41,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.98 : 75,821.36 = 29,792.48 : x
  2. Step 2: Convert to fraction form
    54,942.98/75,821.36 = 29,792.48/x
  3. Step 3: Cross multiply
    54,942.98x = 75,821.36 × 29,792.48
  4. Step 4: Simplify right side
    54,942.98x = 2,258,906,202.41
  5. Step 5: Solve for x
    x = 2,258,906,202.41/54,942.98
  6. Step 6: Final answer
    x = 41,113.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.