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Finding the Fourth Proportional to 70,751.12, 106,149.72 and 33,818

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Solution

The fourth proportional to 70,751.12, 106,149.72 and 33,818 is: 50,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,751.12 : 106,149.72 = 33,818 : x
  2. Step 2: Convert to fraction form
    70,751.12/106,149.72 = 33,818/x
  3. Step 3: Cross multiply
    70,751.12x = 106,149.72 × 33,818
  4. Step 4: Simplify right side
    70,751.12x = 3,589,771,230.96
  5. Step 5: Solve for x
    x = 3,589,771,230.96/70,751.12
  6. Step 6: Final answer
    x = 50,738.01

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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.