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Finding the Fourth Proportional to 106,194, 159,291 and 32,322

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Solution

The fourth proportional to 106,194, 159,291 and 32,322 is: 48,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194 : 159,291 = 32,322 : x
  2. Step 2: Convert to fraction form
    106,194/159,291 = 32,322/x
  3. Step 3: Cross multiply
    106,194x = 159,291 × 32,322
  4. Step 4: Simplify right side
    106,194x = 5,148,603,702
  5. Step 5: Solve for x
    x = 5,148,603,702/106,194
  6. Step 6: Final answer
    x = 48,483

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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.