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Finding the Fourth Proportional to 49,458.27, 68,276.07 and 28,233.44

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Solution

The fourth proportional to 49,458.27, 68,276.07 and 28,233.44 is: 38,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458.27 : 68,276.07 = 28,233.44 : x
  2. Step 2: Convert to fraction form
    49,458.27/68,276.07 = 28,233.44/x
  3. Step 3: Cross multiply
    49,458.27x = 68,276.07 × 28,233.44
  4. Step 4: Simplify right side
    49,458.27x = 1,927,667,843.23
  5. Step 5: Solve for x
    x = 1,927,667,843.23/49,458.27
  6. Step 6: Final answer
    x = 38,975.64

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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.