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Finding the Fourth Proportional to 36,045.38, 49,735.41 and 20,127.38

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Solution

The fourth proportional to 36,045.38, 49,735.41 and 20,127.38 is: 27,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045.38 : 49,735.41 = 20,127.38 : x
  2. Step 2: Convert to fraction form
    36,045.38/49,735.41 = 20,127.38/x
  3. Step 3: Cross multiply
    36,045.38x = 49,735.41 × 20,127.38
  4. Step 4: Simplify right side
    36,045.38x = 1,001,043,496.53
  5. Step 5: Solve for x
    x = 1,001,043,496.53/36,045.38
  6. Step 6: Final answer
    x = 27,771.76

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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.