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Finding the Fourth Proportional to 36,058.38, 49,757.00 and 20,142.50

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Solution

The fourth proportional to 36,058.38, 49,757.00 and 20,142.50 is: 27,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,058.38 : 49,757.00 = 20,142.50 : x
  2. Step 2: Convert to fraction form
    36,058.38/49,757.00 = 20,142.50/x
  3. Step 3: Cross multiply
    36,058.38x = 49,757.00 × 20,142.50
  4. Step 4: Simplify right side
    36,058.38x = 1,002,230,023.00
  5. Step 5: Solve for x
    x = 1,002,230,023.00/36,058.38
  6. Step 6: Final answer
    x = 27,794.65

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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.