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Finding the Fourth Proportional to 18,031.56, 27,044 and 4,882.22

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Solution

The fourth proportional to 18,031.56, 27,044 and 4,882.22 is: 7,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.56 : 27,044 = 4,882.22 : x
  2. Step 2: Convert to fraction form
    18,031.56/27,044 = 4,882.22/x
  3. Step 3: Cross multiply
    18,031.56x = 27,044 × 4,882.22
  4. Step 4: Simplify right side
    18,031.56x = 132,034,757.68
  5. Step 5: Solve for x
    x = 132,034,757.68/18,031.56
  6. Step 6: Final answer
    x = 7,322.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.