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Finding the Fourth Proportional to 35,997.37, 49,676.23 and 20,081.81

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Solution

The fourth proportional to 35,997.37, 49,676.23 and 20,081.81 is: 27,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.37 : 49,676.23 = 20,081.81 : x
  2. Step 2: Convert to fraction form
    35,997.37/49,676.23 = 20,081.81/x
  3. Step 3: Cross multiply
    35,997.37x = 49,676.23 × 20,081.81
  4. Step 4: Simplify right side
    35,997.37x = 997,588,612.38
  5. Step 5: Solve for x
    x = 997,588,612.38/35,997.37
  6. Step 6: Final answer
    x = 27,712.82

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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.