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Finding the Fourth Proportional to 54,797.01, 82,200.17 and 19,255.26

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Solution

The fourth proportional to 54,797.01, 82,200.17 and 19,255.26 is: 28,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,797.01 : 82,200.17 = 19,255.26 : x
  2. Step 2: Convert to fraction form
    54,797.01/82,200.17 = 19,255.26/x
  3. Step 3: Cross multiply
    54,797.01x = 82,200.17 × 19,255.26
  4. Step 4: Simplify right side
    54,797.01x = 1,582,785,437.35
  5. Step 5: Solve for x
    x = 1,582,785,437.35/54,797.01
  6. Step 6: Final answer
    x = 28,884.52

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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.