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Finding the Fourth Proportional to 29,584.25, 44,361.08 and 10,859.48

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Solution

The fourth proportional to 29,584.25, 44,361.08 and 10,859.48 is: 16,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.25 : 44,361.08 = 10,859.48 : x
  2. Step 2: Convert to fraction form
    29,584.25/44,361.08 = 10,859.48/x
  3. Step 3: Cross multiply
    29,584.25x = 44,361.08 × 10,859.48
  4. Step 4: Simplify right side
    29,584.25x = 481,738,261.04
  5. Step 5: Solve for x
    x = 481,738,261.04/29,584.25
  6. Step 6: Final answer
    x = 16,283.61

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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.