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Finding the Fourth Proportional to 96,796.96, 145,201.84 and 25,718.56

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Solution

The fourth proportional to 96,796.96, 145,201.84 and 25,718.56 is: 38,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796.96 : 145,201.84 = 25,718.56 : x
  2. Step 2: Convert to fraction form
    96,796.96/145,201.84 = 25,718.56/x
  3. Step 3: Cross multiply
    96,796.96x = 145,201.84 × 25,718.56
  4. Step 4: Simplify right side
    96,796.96x = 3,734,382,234.15
  5. Step 5: Solve for x
    x = 3,734,382,234.15/96,796.96
  6. Step 6: Final answer
    x = 38,579.54

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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.