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Finding the Fourth Proportional to 54,940.80, 82,213.92 and 47,570.40

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Solution

The fourth proportional to 54,940.80, 82,213.92 and 47,570.40 is: 71,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.80 : 82,213.92 = 47,570.40 : x
  2. Step 2: Convert to fraction form
    54,940.80/82,213.92 = 47,570.40/x
  3. Step 3: Cross multiply
    54,940.80x = 82,213.92 × 47,570.40
  4. Step 4: Simplify right side
    54,940.80x = 3,910,949,059.97
  5. Step 5: Solve for x
    x = 3,910,949,059.97/54,940.80
  6. Step 6: Final answer
    x = 71,184.79

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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.