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Finding the Fourth Proportional to 31,932.14, 47,898.07 and 9,745.44

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Solution

The fourth proportional to 31,932.14, 47,898.07 and 9,745.44 is: 14,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.14 : 47,898.07 = 9,745.44 : x
  2. Step 2: Convert to fraction form
    31,932.14/47,898.07 = 9,745.44/x
  3. Step 3: Cross multiply
    31,932.14x = 47,898.07 × 9,745.44
  4. Step 4: Simplify right side
    31,932.14x = 466,787,767.30
  5. Step 5: Solve for x
    x = 466,787,767.30/31,932.14
  6. Step 6: Final answer
    x = 14,618.12

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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.