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Finding the Fourth Proportional to 107,682.78, 161,489.67 and 35,622.30

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Solution

The fourth proportional to 107,682.78, 161,489.67 and 35,622.30 is: 53,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682.78 : 161,489.67 = 35,622.30 : x
  2. Step 2: Convert to fraction form
    107,682.78/161,489.67 = 35,622.30/x
  3. Step 3: Cross multiply
    107,682.78x = 161,489.67 × 35,622.30
  4. Step 4: Simplify right side
    107,682.78x = 5,752,633,471.64
  5. Step 5: Solve for x
    x = 5,752,633,471.64/107,682.78
  6. Step 6: Final answer
    x = 53,422.04

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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.