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Finding the Fourth Proportional to 54,695.52, 82,043.28 and 17,255.70

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Solution

The fourth proportional to 54,695.52, 82,043.28 and 17,255.70 is: 25,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,695.52 : 82,043.28 = 17,255.70 : x
  2. Step 2: Convert to fraction form
    54,695.52/82,043.28 = 17,255.70/x
  3. Step 3: Cross multiply
    54,695.52x = 82,043.28 × 17,255.70
  4. Step 4: Simplify right side
    54,695.52x = 1,415,714,226.70
  5. Step 5: Solve for x
    x = 1,415,714,226.70/54,695.52
  6. Step 6: Final answer
    x = 25,883.55

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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.