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Finding the Fourth Proportional to 37,011.78, 51,081.84 and 23,589

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Solution

The fourth proportional to 37,011.78, 51,081.84 and 23,589 is: 32,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011.78 : 51,081.84 = 23,589 : x
  2. Step 2: Convert to fraction form
    37,011.78/51,081.84 = 23,589/x
  3. Step 3: Cross multiply
    37,011.78x = 51,081.84 × 23,589
  4. Step 4: Simplify right side
    37,011.78x = 1,204,969,523.76
  5. Step 5: Solve for x
    x = 1,204,969,523.76/37,011.78
  6. Step 6: Final answer
    x = 32,556.38

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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.