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Finding the Fourth Proportional to 71,148.22, 106,753.29 and 33,734.50

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Solution

The fourth proportional to 71,148.22, 106,753.29 and 33,734.50 is: 50,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.22 : 106,753.29 = 33,734.50 : x
  2. Step 2: Convert to fraction form
    71,148.22/106,753.29 = 33,734.50/x
  3. Step 3: Cross multiply
    71,148.22x = 106,753.29 × 33,734.50
  4. Step 4: Simplify right side
    71,148.22x = 3,601,268,861.51
  5. Step 5: Solve for x
    x = 3,601,268,861.51/71,148.22
  6. Step 6: Final answer
    x = 50,616.43

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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.