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Finding the Fourth Proportional to 36,123.92, 49,851.02 and 20,208.38

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Solution

The fourth proportional to 36,123.92, 49,851.02 and 20,208.38 is: 27,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.92 : 49,851.02 = 20,208.38 : x
  2. Step 2: Convert to fraction form
    36,123.92/49,851.02 = 20,208.38/x
  3. Step 3: Cross multiply
    36,123.92x = 49,851.02 × 20,208.38
  4. Step 4: Simplify right side
    36,123.92x = 1,007,408,355.55
  5. Step 5: Solve for x
    x = 1,007,408,355.55/36,123.92
  6. Step 6: Final answer
    x = 27,887.57

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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.