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Finding the Fourth Proportional to 71,276.24, 106,843.80 and 33,770

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Solution

The fourth proportional to 71,276.24, 106,843.80 and 33,770 is: 50,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276.24 : 106,843.80 = 33,770 : x
  2. Step 2: Convert to fraction form
    71,276.24/106,843.80 = 33,770/x
  3. Step 3: Cross multiply
    71,276.24x = 106,843.80 × 33,770
  4. Step 4: Simplify right side
    71,276.24x = 3,608,115,126
  5. Step 5: Solve for x
    x = 3,608,115,126/71,276.24
  6. Step 6: Final answer
    x = 50,621.57

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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.