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Finding the Fourth Proportional to 100,410.76, 150,511.05 and 33,827.88

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Solution

The fourth proportional to 100,410.76, 150,511.05 and 33,827.88 is: 50,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.76 : 150,511.05 = 33,827.88 : x
  2. Step 2: Convert to fraction form
    100,410.76/150,511.05 = 33,827.88/x
  3. Step 3: Cross multiply
    100,410.76x = 150,511.05 × 33,827.88
  4. Step 4: Simplify right side
    100,410.76x = 5,091,470,302.49
  5. Step 5: Solve for x
    x = 5,091,470,302.49/100,410.76
  6. Step 6: Final answer
    x = 50,706.42

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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.