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Finding the Fourth Proportional to 54,940.56, 82,213.92 and 47,570.64

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Solution

The fourth proportional to 54,940.56, 82,213.92 and 47,570.64 is: 71,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.56 : 82,213.92 = 47,570.64 : x
  2. Step 2: Convert to fraction form
    54,940.56/82,213.92 = 47,570.64/x
  3. Step 3: Cross multiply
    54,940.56x = 82,213.92 × 47,570.64
  4. Step 4: Simplify right side
    54,940.56x = 3,910,968,791.31
  5. Step 5: Solve for x
    x = 3,910,968,791.31/54,940.56
  6. Step 6: Final answer
    x = 71,185.46

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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.