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Finding the Fourth Proportional to 54,843.25, 82,264.89 and 19,782.90

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Solution

The fourth proportional to 54,843.25, 82,264.89 and 19,782.90 is: 29,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.25 : 82,264.89 = 19,782.90 : x
  2. Step 2: Convert to fraction form
    54,843.25/82,264.89 = 19,782.90/x
  3. Step 3: Cross multiply
    54,843.25x = 82,264.89 × 19,782.90
  4. Step 4: Simplify right side
    54,843.25x = 1,627,438,092.38
  5. Step 5: Solve for x
    x = 1,627,438,092.38/54,843.25
  6. Step 6: Final answer
    x = 29,674.36

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1.5x scale

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.