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Finding the Fourth Proportional to 30,550.20, 42,102.20 and 23,825.20

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Solution

The fourth proportional to 30,550.20, 42,102.20 and 23,825.20 is: 32,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,550.20 : 42,102.20 = 23,825.20 : x
  2. Step 2: Convert to fraction form
    30,550.20/42,102.20 = 23,825.20/x
  3. Step 3: Cross multiply
    30,550.20x = 42,102.20 × 23,825.20
  4. Step 4: Simplify right side
    30,550.20x = 1,003,093,335.44
  5. Step 5: Solve for x
    x = 1,003,093,335.44/30,550.20
  6. Step 6: Final answer
    x = 32,834.26

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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.