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Finding the Fourth Proportional to 106,198.64, 159,323.88 and 32,326.64

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Solution

The fourth proportional to 106,198.64, 159,323.88 and 32,326.64 is: 48,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,198.64 : 159,323.88 = 32,326.64 : x
  2. Step 2: Convert to fraction form
    106,198.64/159,323.88 = 32,326.64/x
  3. Step 3: Cross multiply
    106,198.64x = 159,323.88 × 32,326.64
  4. Step 4: Simplify right side
    106,198.64x = 5,150,405,712.16
  5. Step 5: Solve for x
    x = 5,150,405,712.16/106,198.64
  6. Step 6: Final answer
    x = 48,497.85

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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.