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Finding the Fourth Proportional to 36,135.42, 49,866.87 and 20,219.88

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Solution

The fourth proportional to 36,135.42, 49,866.87 and 20,219.88 is: 27,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,135.42 : 49,866.87 = 20,219.88 : x
  2. Step 2: Convert to fraction form
    36,135.42/49,866.87 = 20,219.88/x
  3. Step 3: Cross multiply
    36,135.42x = 49,866.87 × 20,219.88
  4. Step 4: Simplify right side
    36,135.42x = 1,008,302,127.38
  5. Step 5: Solve for x
    x = 1,008,302,127.38/36,135.42
  6. Step 6: Final answer
    x = 27,903.43

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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.