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Finding the Fourth Proportional to 106,133.76, 159,194.88 and 32,256

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Solution

The fourth proportional to 106,133.76, 159,194.88 and 32,256 is: 48,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,133.76 : 159,194.88 = 32,256 : x
  2. Step 2: Convert to fraction form
    106,133.76/159,194.88 = 32,256/x
  3. Step 3: Cross multiply
    106,133.76x = 159,194.88 × 32,256
  4. Step 4: Simplify right side
    106,133.76x = 5,134,990,049.28
  5. Step 5: Solve for x
    x = 5,134,990,049.28/106,133.76
  6. Step 6: Final answer
    x = 48,382.25

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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.