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Finding the Fourth Proportional to 30,202.80, 41,682.24 and 16,775.28

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Solution

The fourth proportional to 30,202.80, 41,682.24 and 16,775.28 is: 23,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.80 : 41,682.24 = 16,775.28 : x
  2. Step 2: Convert to fraction form
    30,202.80/41,682.24 = 16,775.28/x
  3. Step 3: Cross multiply
    30,202.80x = 41,682.24 × 16,775.28
  4. Step 4: Simplify right side
    30,202.80x = 699,231,247.03
  5. Step 5: Solve for x
    x = 699,231,247.03/30,202.80
  6. Step 6: Final answer
    x = 23,151.21

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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.