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Finding the Fourth Proportional to 36,097.44, 49,721.94 and 25,468.44

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Solution

The fourth proportional to 36,097.44, 49,721.94 and 25,468.44 is: 35,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.44 : 49,721.94 = 25,468.44 : x
  2. Step 2: Convert to fraction form
    36,097.44/49,721.94 = 25,468.44/x
  3. Step 3: Cross multiply
    36,097.44x = 49,721.94 × 25,468.44
  4. Step 4: Simplify right side
    36,097.44x = 1,266,340,245.57
  5. Step 5: Solve for x
    x = 1,266,340,245.57/36,097.44
  6. Step 6: Final answer
    x = 35,081.16

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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.