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Finding the Fourth Proportional to 107,481.96, 160,977.06 and 51,361.52

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Solution

The fourth proportional to 107,481.96, 160,977.06 and 51,361.52 is: 76,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,481.96 : 160,977.06 = 51,361.52 : x
  2. Step 2: Convert to fraction form
    107,481.96/160,977.06 = 51,361.52/x
  3. Step 3: Cross multiply
    107,481.96x = 160,977.06 × 51,361.52
  4. Step 4: Simplify right side
    107,481.96x = 8,268,025,681.85
  5. Step 5: Solve for x
    x = 8,268,025,681.85/107,481.96
  6. Step 6: Final answer
    x = 76,924.78

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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.