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Finding the Fourth Proportional to 31,793.98, 47,691.30 and 9,607.54

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Solution

The fourth proportional to 31,793.98, 47,691.30 and 9,607.54 is: 14,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.98 : 47,691.30 = 9,607.54 : x
  2. Step 2: Convert to fraction form
    31,793.98/47,691.30 = 9,607.54/x
  3. Step 3: Cross multiply
    31,793.98x = 47,691.30 × 9,607.54
  4. Step 4: Simplify right side
    31,793.98x = 458,196,072.40
  5. Step 5: Solve for x
    x = 458,196,072.40/31,793.98
  6. Step 6: Final answer
    x = 14,411.41

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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.