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Finding the Fourth Proportional to 36,882.52, 55,324.30 and 9,180.52

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Solution

The fourth proportional to 36,882.52, 55,324.30 and 9,180.52 is: 13,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882.52 : 55,324.30 = 9,180.52 : x
  2. Step 2: Convert to fraction form
    36,882.52/55,324.30 = 9,180.52/x
  3. Step 3: Cross multiply
    36,882.52x = 55,324.30 × 9,180.52
  4. Step 4: Simplify right side
    36,882.52x = 507,905,842.64
  5. Step 5: Solve for x
    x = 507,905,842.64/36,882.52
  6. Step 6: Final answer
    x = 13,770.91

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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.