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Finding the Fourth Proportional to 106,521.64, 159,724.86 and 32,640.04

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Solution

The fourth proportional to 106,521.64, 159,724.86 and 32,640.04 is: 48,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.64 : 159,724.86 = 32,640.04 : x
  2. Step 2: Convert to fraction form
    106,521.64/159,724.86 = 32,640.04/x
  3. Step 3: Cross multiply
    106,521.64x = 159,724.86 × 32,640.04
  4. Step 4: Simplify right side
    106,521.64x = 5,213,425,819.39
  5. Step 5: Solve for x
    x = 5,213,425,819.39/106,521.64
  6. Step 6: Final answer
    x = 48,942.41

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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.