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Finding the Fourth Proportional to 70,162.89, 105,262.97 and 20,247.05

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Solution

The fourth proportional to 70,162.89, 105,262.97 and 20,247.05 is: 30,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,162.89 : 105,262.97 = 20,247.05 : x
  2. Step 2: Convert to fraction form
    70,162.89/105,262.97 = 20,247.05/x
  3. Step 3: Cross multiply
    70,162.89x = 105,262.97 × 20,247.05
  4. Step 4: Simplify right side
    70,162.89x = 2,131,263,989.19
  5. Step 5: Solve for x
    x = 2,131,263,989.19/70,162.89
  6. Step 6: Final answer
    x = 30,375.94

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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.