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Finding the Fourth Proportional to 100,410.70, 150,510.96 and 33,827.82

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Solution

The fourth proportional to 100,410.70, 150,510.96 and 33,827.82 is: 50,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.70 : 150,510.96 = 33,827.82 : x
  2. Step 2: Convert to fraction form
    100,410.70/150,510.96 = 33,827.82/x
  3. Step 3: Cross multiply
    100,410.70x = 150,510.96 × 33,827.82
  4. Step 4: Simplify right side
    100,410.70x = 5,091,457,662.91
  5. Step 5: Solve for x
    x = 5,091,457,662.91/100,410.70
  6. Step 6: Final answer
    x = 50,706.33

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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.