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Finding the Fourth Proportional to 35,728.56, 53,481.78 and 26,379

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Solution

The fourth proportional to 35,728.56, 53,481.78 and 26,379 is: 39,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.56 : 53,481.78 = 26,379 : x
  2. Step 2: Convert to fraction form
    35,728.56/53,481.78 = 26,379/x
  3. Step 3: Cross multiply
    35,728.56x = 53,481.78 × 26,379
  4. Step 4: Simplify right side
    35,728.56x = 1,410,795,874.62
  5. Step 5: Solve for x
    x = 1,410,795,874.62/35,728.56
  6. Step 6: Final answer
    x = 39,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.