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Finding the Fourth Proportional to 101,162.44, 151,737.18 and 31,035.88

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Solution

The fourth proportional to 101,162.44, 151,737.18 and 31,035.88 is: 46,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,162.44 : 151,737.18 = 31,035.88 : x
  2. Step 2: Convert to fraction form
    101,162.44/151,737.18 = 31,035.88/x
  3. Step 3: Cross multiply
    101,162.44x = 151,737.18 × 31,035.88
  4. Step 4: Simplify right side
    101,162.44x = 4,709,296,910.02
  5. Step 5: Solve for x
    x = 4,709,296,910.02/101,162.44
  6. Step 6: Final answer
    x = 46,551.83

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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.