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Finding the Fourth Proportional to 35,977.41, 49,648.22 and 19,846.29

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Solution

The fourth proportional to 35,977.41, 49,648.22 and 19,846.29 is: 27,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.41 : 49,648.22 = 19,846.29 : x
  2. Step 2: Convert to fraction form
    35,977.41/49,648.22 = 19,846.29/x
  3. Step 3: Cross multiply
    35,977.41x = 49,648.22 × 19,846.29
  4. Step 4: Simplify right side
    35,977.41x = 985,332,872.87
  5. Step 5: Solve for x
    x = 985,332,872.87/35,977.41
  6. Step 6: Final answer
    x = 27,387.54

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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.