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Finding the Fourth Proportional to 51,571.80, 77,361.72 and 21,989.82

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Solution

The fourth proportional to 51,571.80, 77,361.72 and 21,989.82 is: 32,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,571.80 : 77,361.72 = 21,989.82 : x
  2. Step 2: Convert to fraction form
    51,571.80/77,361.72 = 21,989.82/x
  3. Step 3: Cross multiply
    51,571.80x = 77,361.72 × 21,989.82
  4. Step 4: Simplify right side
    51,571.80x = 1,701,170,297.69
  5. Step 5: Solve for x
    x = 1,701,170,297.69/51,571.80
  6. Step 6: Final answer
    x = 32,986.44

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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.