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Finding the Fourth Proportional to 31,793.45, 47,695.43 and 10,735.47

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Solution

The fourth proportional to 31,793.45, 47,695.43 and 10,735.47 is: 16,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.45 : 47,695.43 = 10,735.47 : x
  2. Step 2: Convert to fraction form
    31,793.45/47,695.43 = 10,735.47/x
  3. Step 3: Cross multiply
    31,793.45x = 47,695.43 × 10,735.47
  4. Step 4: Simplify right side
    31,793.45x = 512,032,884.74
  5. Step 5: Solve for x
    x = 512,032,884.74/31,793.45
  6. Step 6: Final answer
    x = 16,104.98

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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.