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Finding the Fourth Proportional to 36,215.38, 49,978.68 and 20,299.72

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Solution

The fourth proportional to 36,215.38, 49,978.68 and 20,299.72 is: 28,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,215.38 : 49,978.68 = 20,299.72 : x
  2. Step 2: Convert to fraction form
    36,215.38/49,978.68 = 20,299.72/x
  3. Step 3: Cross multiply
    36,215.38x = 49,978.68 × 20,299.72
  4. Step 4: Simplify right side
    36,215.38x = 1,014,553,209.97
  5. Step 5: Solve for x
    x = 1,014,553,209.97/36,215.38
  6. Step 6: Final answer
    x = 28,014.43

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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.