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Finding the Fourth Proportional to 106,351.76, 159,521.88 and 32,474

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Solution

The fourth proportional to 106,351.76, 159,521.88 and 32,474 is: 48,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,351.76 : 159,521.88 = 32,474 : x
  2. Step 2: Convert to fraction form
    106,351.76/159,521.88 = 32,474/x
  3. Step 3: Cross multiply
    106,351.76x = 159,521.88 × 32,474
  4. Step 4: Simplify right side
    106,351.76x = 5,180,313,531.12
  5. Step 5: Solve for x
    x = 5,180,313,531.12/106,351.76
  6. Step 6: Final answer
    x = 48,709.24

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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.