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Finding the Fourth Proportional to 35,874.85, 49,505.93 and 19,958.96

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Solution

The fourth proportional to 35,874.85, 49,505.93 and 19,958.96 is: 27,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.85 : 49,505.93 = 19,958.96 : x
  2. Step 2: Convert to fraction form
    35,874.85/49,505.93 = 19,958.96/x
  3. Step 3: Cross multiply
    35,874.85x = 49,505.93 × 19,958.96
  4. Step 4: Simplify right side
    35,874.85x = 988,086,809.25
  5. Step 5: Solve for x
    x = 988,086,809.25/35,874.85
  6. Step 6: Final answer
    x = 27,542.61

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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.