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Finding the Fourth Proportional to 37,097.69, 51,181.38 and 22,556.87

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Solution

The fourth proportional to 37,097.69, 51,181.38 and 22,556.87 is: 31,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.69 : 51,181.38 = 22,556.87 : x
  2. Step 2: Convert to fraction form
    37,097.69/51,181.38 = 22,556.87/x
  3. Step 3: Cross multiply
    37,097.69x = 51,181.38 × 22,556.87
  4. Step 4: Simplify right side
    37,097.69x = 1,154,491,735.08
  5. Step 5: Solve for x
    x = 1,154,491,735.08/37,097.69
  6. Step 6: Final answer
    x = 31,120.31

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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.