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Finding the Fourth Proportional to 70,750.12, 106,148.22 and 33,817

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Solution

The fourth proportional to 70,750.12, 106,148.22 and 33,817 is: 50,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,750.12 : 106,148.22 = 33,817 : x
  2. Step 2: Convert to fraction form
    70,750.12/106,148.22 = 33,817/x
  3. Step 3: Cross multiply
    70,750.12x = 106,148.22 × 33,817
  4. Step 4: Simplify right side
    70,750.12x = 3,589,614,355.74
  5. Step 5: Solve for x
    x = 3,589,614,355.74/70,750.12
  6. Step 6: Final answer
    x = 50,736.51

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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.