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Finding the Fourth Proportional to 54,696.74, 82,046.88 and 17,257.16

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Solution

The fourth proportional to 54,696.74, 82,046.88 and 17,257.16 is: 25,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.74 : 82,046.88 = 17,257.16 : x
  2. Step 2: Convert to fraction form
    54,696.74/82,046.88 = 17,257.16/x
  3. Step 3: Cross multiply
    54,696.74x = 82,046.88 × 17,257.16
  4. Step 4: Simplify right side
    54,696.74x = 1,415,896,135.66
  5. Step 5: Solve for x
    x = 1,415,896,135.66/54,696.74
  6. Step 6: Final answer
    x = 25,886.30

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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.