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Finding the Fourth Proportional to 54,333, 81,506.79 and 23,175.54

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Solution

The fourth proportional to 54,333, 81,506.79 and 23,175.54 is: 34,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,333 : 81,506.79 = 23,175.54 : x
  2. Step 2: Convert to fraction form
    54,333/81,506.79 = 23,175.54/x
  3. Step 3: Cross multiply
    54,333x = 81,506.79 × 23,175.54
  4. Step 4: Simplify right side
    54,333x = 1,888,963,871.92
  5. Step 5: Solve for x
    x = 1,888,963,871.92/54,333
  6. Step 6: Final answer
    x = 34,766.42

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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.