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Finding the Fourth Proportional to 30,765.57, 42,458.49 and 23,198.55

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Solution

The fourth proportional to 30,765.57, 42,458.49 and 23,198.55 is: 32,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.57 : 42,458.49 = 23,198.55 : x
  2. Step 2: Convert to fraction form
    30,765.57/42,458.49 = 23,198.55/x
  3. Step 3: Cross multiply
    30,765.57x = 42,458.49 × 23,198.55
  4. Step 4: Simplify right side
    30,765.57x = 984,975,403.19
  5. Step 5: Solve for x
    x = 984,975,403.19/30,765.57
  6. Step 6: Final answer
    x = 32,015.51

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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.