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Finding the Fourth Proportional to 106,327.63, 159,522.63 and 31,449.75

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Solution

The fourth proportional to 106,327.63, 159,522.63 and 31,449.75 is: 47,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,327.63 : 159,522.63 = 31,449.75 : x
  2. Step 2: Convert to fraction form
    106,327.63/159,522.63 = 31,449.75/x
  3. Step 3: Cross multiply
    106,327.63x = 159,522.63 × 31,449.75
  4. Step 4: Simplify right side
    106,327.63x = 5,016,946,832.84
  5. Step 5: Solve for x
    x = 5,016,946,832.84/106,327.63
  6. Step 6: Final answer
    x = 47,183.85

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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.