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Finding the Fourth Proportional to 54,576.76, 81,777.72 and 49,327.96

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Solution

The fourth proportional to 54,576.76, 81,777.72 and 49,327.96 is: 73,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576.76 : 81,777.72 = 49,327.96 : x
  2. Step 2: Convert to fraction form
    54,576.76/81,777.72 = 49,327.96/x
  3. Step 3: Cross multiply
    54,576.76x = 81,777.72 × 49,327.96
  4. Step 4: Simplify right side
    54,576.76x = 4,033,928,101.05
  5. Step 5: Solve for x
    x = 4,033,928,101.05/54,576.76
  6. Step 6: Final answer
    x = 73,912.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.