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Finding the Fourth Proportional to 30,894.09, 46,226.31 and 18,420.90

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Solution

The fourth proportional to 30,894.09, 46,226.31 and 18,420.90 is: 27,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.09 : 46,226.31 = 18,420.90 : x
  2. Step 2: Convert to fraction form
    30,894.09/46,226.31 = 18,420.90/x
  3. Step 3: Cross multiply
    30,894.09x = 46,226.31 × 18,420.90
  4. Step 4: Simplify right side
    30,894.09x = 851,530,233.88
  5. Step 5: Solve for x
    x = 851,530,233.88/30,894.09
  6. Step 6: Final answer
    x = 27,562.88

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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.