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Finding the Fourth Proportional to 106,469.56, 159,704.40 and 32,597.56

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Solution

The fourth proportional to 106,469.56, 159,704.40 and 32,597.56 is: 48,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469.56 : 159,704.40 = 32,597.56 : x
  2. Step 2: Convert to fraction form
    106,469.56/159,704.40 = 32,597.56/x
  3. Step 3: Cross multiply
    106,469.56x = 159,704.40 × 32,597.56
  4. Step 4: Simplify right side
    106,469.56x = 5,205,973,761.26
  5. Step 5: Solve for x
    x = 5,205,973,761.26/106,469.56
  6. Step 6: Final answer
    x = 48,896.36

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1.5x scale

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.