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Finding the Fourth Proportional to 37,666.32, 51,981.15 and 22,556.09

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Solution

The fourth proportional to 37,666.32, 51,981.15 and 22,556.09 is: 31,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.32 : 51,981.15 = 22,556.09 : x
  2. Step 2: Convert to fraction form
    37,666.32/51,981.15 = 22,556.09/x
  3. Step 3: Cross multiply
    37,666.32x = 51,981.15 × 22,556.09
  4. Step 4: Simplify right side
    37,666.32x = 1,172,491,182.64
  5. Step 5: Solve for x
    x = 1,172,491,182.64/37,666.32
  6. Step 6: Final answer
    x = 31,128.37

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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.