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Finding the Fourth Proportional to 31,815.32, 47,680.45 and 16,992.32

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Solution

The fourth proportional to 31,815.32, 47,680.45 and 16,992.32 is: 25,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815.32 : 47,680.45 = 16,992.32 : x
  2. Step 2: Convert to fraction form
    31,815.32/47,680.45 = 16,992.32/x
  3. Step 3: Cross multiply
    31,815.32x = 47,680.45 × 16,992.32
  4. Step 4: Simplify right side
    31,815.32x = 810,201,183.26
  5. Step 5: Solve for x
    x = 810,201,183.26/31,815.32
  6. Step 6: Final answer
    x = 25,465.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.