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Finding the Fourth Proportional to 54,694.76, 82,043.88 and 17,255.16

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Solution

The fourth proportional to 54,694.76, 82,043.88 and 17,255.16 is: 25,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.76 : 82,043.88 = 17,255.16 : x
  2. Step 2: Convert to fraction form
    54,694.76/82,043.88 = 17,255.16/x
  3. Step 3: Cross multiply
    54,694.76x = 82,043.88 × 17,255.16
  4. Step 4: Simplify right side
    54,694.76x = 1,415,680,276.42
  5. Step 5: Solve for x
    x = 1,415,680,276.42/54,694.76
  6. Step 6: Final answer
    x = 25,883.29

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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.