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Finding the Fourth Proportional to 71,650.14, 107,311.29 and 34,236.51

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Solution

The fourth proportional to 71,650.14, 107,311.29 and 34,236.51 is: 51,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,650.14 : 107,311.29 = 34,236.51 : x
  2. Step 2: Convert to fraction form
    71,650.14/107,311.29 = 34,236.51/x
  3. Step 3: Cross multiply
    71,650.14x = 107,311.29 × 34,236.51
  4. Step 4: Simplify right side
    71,650.14x = 3,673,964,053.20
  5. Step 5: Solve for x
    x = 3,673,964,053.20/71,650.14
  6. Step 6: Final answer
    x = 51,276.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.