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Finding the Fourth Proportional to 30,400.80, 41,982.08 and 28,744.16

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Solution

The fourth proportional to 30,400.80, 41,982.08 and 28,744.16 is: 39,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.80 : 41,982.08 = 28,744.16 : x
  2. Step 2: Convert to fraction form
    30,400.80/41,982.08 = 28,744.16/x
  3. Step 3: Cross multiply
    30,400.80x = 41,982.08 × 28,744.16
  4. Step 4: Simplify right side
    30,400.80x = 1,206,739,624.65
  5. Step 5: Solve for x
    x = 1,206,739,624.65/30,400.80
  6. Step 6: Final answer
    x = 39,694.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.