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Finding the Fourth Proportional to 101,063.76, 151,596 and 30,942.78

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Solution

The fourth proportional to 101,063.76, 151,596 and 30,942.78 is: 46,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,063.76 : 151,596 = 30,942.78 : x
  2. Step 2: Convert to fraction form
    101,063.76/151,596 = 30,942.78/x
  3. Step 3: Cross multiply
    101,063.76x = 151,596 × 30,942.78
  4. Step 4: Simplify right side
    101,063.76x = 4,690,801,676.88
  5. Step 5: Solve for x
    x = 4,690,801,676.88/101,063.76
  6. Step 6: Final answer
    x = 46,414.28

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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.