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Finding the Fourth Proportional to 49,067.25, 73,602.09 and 17,902.50

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Solution

The fourth proportional to 49,067.25, 73,602.09 and 17,902.50 is: 26,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,067.25 : 73,602.09 = 17,902.50 : x
  2. Step 2: Convert to fraction form
    49,067.25/73,602.09 = 17,902.50/x
  3. Step 3: Cross multiply
    49,067.25x = 73,602.09 × 17,902.50
  4. Step 4: Simplify right side
    49,067.25x = 1,317,661,416.23
  5. Step 5: Solve for x
    x = 1,317,661,416.23/49,067.25
  6. Step 6: Final answer
    x = 26,854.19

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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.