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Finding the Fourth Proportional to 37,196.34, 51,338.39 and 22,097.38

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Solution

The fourth proportional to 37,196.34, 51,338.39 and 22,097.38 is: 30,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196.34 : 51,338.39 = 22,097.38 : x
  2. Step 2: Convert to fraction form
    37,196.34/51,338.39 = 22,097.38/x
  3. Step 3: Cross multiply
    37,196.34x = 51,338.39 × 22,097.38
  4. Step 4: Simplify right side
    37,196.34x = 1,134,443,912.42
  5. Step 5: Solve for x
    x = 1,134,443,912.42/37,196.34
  6. Step 6: Final answer
    x = 30,498.80

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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.