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Finding the Fourth Proportional to 106,055.70, 159,079.89 and 27,170.70

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Solution

The fourth proportional to 106,055.70, 159,079.89 and 27,170.70 is: 40,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,055.70 : 159,079.89 = 27,170.70 : x
  2. Step 2: Convert to fraction form
    106,055.70/159,079.89 = 27,170.70/x
  3. Step 3: Cross multiply
    106,055.70x = 159,079.89 × 27,170.70
  4. Step 4: Simplify right side
    106,055.70x = 4,322,311,967.22
  5. Step 5: Solve for x
    x = 4,322,311,967.22/106,055.70
  6. Step 6: Final answer
    x = 40,755.11

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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.