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Finding the Fourth Proportional to 27,742.48, 41,614.02 and 8,021.22

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Solution

The fourth proportional to 27,742.48, 41,614.02 and 8,021.22 is: 12,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.48 : 41,614.02 = 8,021.22 : x
  2. Step 2: Convert to fraction form
    27,742.48/41,614.02 = 8,021.22/x
  3. Step 3: Cross multiply
    27,742.48x = 41,614.02 × 8,021.22
  4. Step 4: Simplify right side
    27,742.48x = 333,795,209.50
  5. Step 5: Solve for x
    x = 333,795,209.50/27,742.48
  6. Step 6: Final answer
    x = 12,031.92

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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.