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Finding the Fourth Proportional to 31,584.99, 47,361.63 and 10,517.61

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Solution

The fourth proportional to 31,584.99, 47,361.63 and 10,517.61 is: 15,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.99 : 47,361.63 = 10,517.61 : x
  2. Step 2: Convert to fraction form
    31,584.99/47,361.63 = 10,517.61/x
  3. Step 3: Cross multiply
    31,584.99x = 47,361.63 × 10,517.61
  4. Step 4: Simplify right side
    31,584.99x = 498,131,153.30
  5. Step 5: Solve for x
    x = 498,131,153.30/31,584.99
  6. Step 6: Final answer
    x = 15,771.14

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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.