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Finding the Fourth Proportional to 29,469.94, 44,204.47 and 7,283.31

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Solution

The fourth proportional to 29,469.94, 44,204.47 and 7,283.31 is: 10,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.94 : 44,204.47 = 7,283.31 : x
  2. Step 2: Convert to fraction form
    29,469.94/44,204.47 = 7,283.31/x
  3. Step 3: Cross multiply
    29,469.94x = 44,204.47 × 7,283.31
  4. Step 4: Simplify right side
    29,469.94x = 321,954,821.98
  5. Step 5: Solve for x
    x = 321,954,821.98/29,469.94
  6. Step 6: Final answer
    x = 10,924.86

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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.