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Finding the Fourth Proportional to 33,033.60, 49,550.40 and 30,830.40

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Solution

The fourth proportional to 33,033.60, 49,550.40 and 30,830.40 is: 46,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.60 : 49,550.40 = 30,830.40 : x
  2. Step 2: Convert to fraction form
    33,033.60/49,550.40 = 30,830.40/x
  3. Step 3: Cross multiply
    33,033.60x = 49,550.40 × 30,830.40
  4. Step 4: Simplify right side
    33,033.60x = 1,527,658,652.16
  5. Step 5: Solve for x
    x = 1,527,658,652.16/33,033.60
  6. Step 6: Final answer
    x = 46,245.60

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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.