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Finding the Fourth Proportional to 31,923, 47,884.50 and 9,735.88

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Solution

The fourth proportional to 31,923, 47,884.50 and 9,735.88 is: 14,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923 : 47,884.50 = 9,735.88 : x
  2. Step 2: Convert to fraction form
    31,923/47,884.50 = 9,735.88/x
  3. Step 3: Cross multiply
    31,923x = 47,884.50 × 9,735.88
  4. Step 4: Simplify right side
    31,923x = 466,197,745.86
  5. Step 5: Solve for x
    x = 466,197,745.86/31,923
  6. Step 6: Final answer
    x = 14,603.82

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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.