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Finding the Fourth Proportional to 31,797.64, 47,704.96 and 11,021.14

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Solution

The fourth proportional to 31,797.64, 47,704.96 and 11,021.14 is: 16,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.64 : 47,704.96 = 11,021.14 : x
  2. Step 2: Convert to fraction form
    31,797.64/47,704.96 = 11,021.14/x
  3. Step 3: Cross multiply
    31,797.64x = 47,704.96 × 11,021.14
  4. Step 4: Simplify right side
    31,797.64x = 525,763,042.85
  5. Step 5: Solve for x
    x = 525,763,042.85/31,797.64
  6. Step 6: Final answer
    x = 16,534.66

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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.