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Finding the Fourth Proportional to 52,067.89, 71,853.74 and 28,194.60

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Solution

The fourth proportional to 52,067.89, 71,853.74 and 28,194.60 is: 38,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,067.89 : 71,853.74 = 28,194.60 : x
  2. Step 2: Convert to fraction form
    52,067.89/71,853.74 = 28,194.60/x
  3. Step 3: Cross multiply
    52,067.89x = 71,853.74 × 28,194.60
  4. Step 4: Simplify right side
    52,067.89x = 2,025,887,457.80
  5. Step 5: Solve for x
    x = 2,025,887,457.80/52,067.89
  6. Step 6: Final answer
    x = 38,908.58

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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.