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Finding the Fourth Proportional to 52,067.46, 71,853.13 and 28,194.23

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Solution

The fourth proportional to 52,067.46, 71,853.13 and 28,194.23 is: 38,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,067.46 : 71,853.13 = 28,194.23 : x
  2. Step 2: Convert to fraction form
    52,067.46/71,853.13 = 28,194.23/x
  3. Step 3: Cross multiply
    52,067.46x = 71,853.13 × 28,194.23
  4. Step 4: Simplify right side
    52,067.46x = 2,025,843,325.55
  5. Step 5: Solve for x
    x = 2,025,843,325.55/52,067.46
  6. Step 6: Final answer
    x = 38,908.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.