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Finding the Fourth Proportional to 33,202.70, 49,694.70 and 29,266.10

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Solution

The fourth proportional to 33,202.70, 49,694.70 and 29,266.10 is: 43,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.70 : 49,694.70 = 29,266.10 : x
  2. Step 2: Convert to fraction form
    33,202.70/49,694.70 = 29,266.10/x
  3. Step 3: Cross multiply
    33,202.70x = 49,694.70 × 29,266.10
  4. Step 4: Simplify right side
    33,202.70x = 1,454,370,059.67
  5. Step 5: Solve for x
    x = 1,454,370,059.67/33,202.70
  6. Step 6: Final answer
    x = 43,802.76

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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.