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Finding the Fourth Proportional to 31,231.80, 46,847.70 and 28,218.60

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Solution

The fourth proportional to 31,231.80, 46,847.70 and 28,218.60 is: 42,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.80 : 46,847.70 = 28,218.60 : x
  2. Step 2: Convert to fraction form
    31,231.80/46,847.70 = 28,218.60/x
  3. Step 3: Cross multiply
    31,231.80x = 46,847.70 × 28,218.60
  4. Step 4: Simplify right side
    31,231.80x = 1,321,976,507.22
  5. Step 5: Solve for x
    x = 1,321,976,507.22/31,231.80
  6. Step 6: Final answer
    x = 42,327.90

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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.