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Finding the Fourth Proportional to 54,230.78, 80,977.02 and 47,852.48

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Solution

The fourth proportional to 54,230.78, 80,977.02 and 47,852.48 is: 71,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,230.78 : 80,977.02 = 47,852.48 : x
  2. Step 2: Convert to fraction form
    54,230.78/80,977.02 = 47,852.48/x
  3. Step 3: Cross multiply
    54,230.78x = 80,977.02 × 47,852.48
  4. Step 4: Simplify right side
    54,230.78x = 3,874,951,230.01
  5. Step 5: Solve for x
    x = 3,874,951,230.01/54,230.78
  6. Step 6: Final answer
    x = 71,452.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.