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Finding the Fourth Proportional to 35,997.48, 49,676.81 and 19,865.48

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Solution

The fourth proportional to 35,997.48, 49,676.81 and 19,865.48 is: 27,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.48 : 49,676.81 = 19,865.48 : x
  2. Step 2: Convert to fraction form
    35,997.48/49,676.81 = 19,865.48/x
  3. Step 3: Cross multiply
    35,997.48x = 49,676.81 × 19,865.48
  4. Step 4: Simplify right side
    35,997.48x = 986,853,327.81
  5. Step 5: Solve for x
    x = 986,853,327.81/35,997.48
  6. Step 6: Final answer
    x = 27,414.51

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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.