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Finding the Fourth Proportional to 31,198.80, 46,800.60 and 10,422.32

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Solution

The fourth proportional to 31,198.80, 46,800.60 and 10,422.32 is: 15,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.80 : 46,800.60 = 10,422.32 : x
  2. Step 2: Convert to fraction form
    31,198.80/46,800.60 = 10,422.32/x
  3. Step 3: Cross multiply
    31,198.80x = 46,800.60 × 10,422.32
  4. Step 4: Simplify right side
    31,198.80x = 487,770,829.39
  5. Step 5: Solve for x
    x = 487,770,829.39/31,198.80
  6. Step 6: Final answer
    x = 15,634.28

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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.