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Finding the Fourth Proportional to 31,845.27, 47,768.02 and 9,658.84

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Solution

The fourth proportional to 31,845.27, 47,768.02 and 9,658.84 is: 14,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845.27 : 47,768.02 = 9,658.84 : x
  2. Step 2: Convert to fraction form
    31,845.27/47,768.02 = 9,658.84/x
  3. Step 3: Cross multiply
    31,845.27x = 47,768.02 × 9,658.84
  4. Step 4: Simplify right side
    31,845.27x = 461,383,662.30
  5. Step 5: Solve for x
    x = 461,383,662.30/31,845.27
  6. Step 6: Final answer
    x = 14,488.29

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1.5x scale

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.