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Finding the Fourth Proportional to 37,556.72, 51,824.71 and 22,446.38

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Solution

The fourth proportional to 37,556.72, 51,824.71 and 22,446.38 is: 30,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,556.72 : 51,824.71 = 22,446.38 : x
  2. Step 2: Convert to fraction form
    37,556.72/51,824.71 = 22,446.38/x
  3. Step 3: Cross multiply
    37,556.72x = 51,824.71 × 22,446.38
  4. Step 4: Simplify right side
    37,556.72x = 1,163,277,134.05
  5. Step 5: Solve for x
    x = 1,163,277,134.05/37,556.72
  6. Step 6: Final answer
    x = 30,973.87

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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.