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Finding the Fourth Proportional to 70,710.44, 106,100.15 and 33,274.19

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Solution

The fourth proportional to 70,710.44, 106,100.15 and 33,274.19 is: 49,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.44 : 106,100.15 = 33,274.19 : x
  2. Step 2: Convert to fraction form
    70,710.44/106,100.15 = 33,274.19/x
  3. Step 3: Cross multiply
    70,710.44x = 106,100.15 × 33,274.19
  4. Step 4: Simplify right side
    70,710.44x = 3,530,396,649.01
  5. Step 5: Solve for x
    x = 3,530,396,649.01/70,710.44
  6. Step 6: Final answer
    x = 49,927.52

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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.