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Finding the Fourth Proportional to 36,180.38, 49,918.89 and 22,023.14

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Solution

The fourth proportional to 36,180.38, 49,918.89 and 22,023.14 is: 30,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.38 : 49,918.89 = 22,023.14 : x
  2. Step 2: Convert to fraction form
    36,180.38/49,918.89 = 22,023.14/x
  3. Step 3: Cross multiply
    36,180.38x = 49,918.89 × 22,023.14
  4. Step 4: Simplify right side
    36,180.38x = 1,099,370,703.11
  5. Step 5: Solve for x
    x = 1,099,370,703.11/36,180.38
  6. Step 6: Final answer
    x = 30,385.83

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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.