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Finding the Fourth Proportional to 30,550.12, 45,832.34 and 9,489.09

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Solution

The fourth proportional to 30,550.12, 45,832.34 and 9,489.09 is: 14,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,550.12 : 45,832.34 = 9,489.09 : x
  2. Step 2: Convert to fraction form
    30,550.12/45,832.34 = 9,489.09/x
  3. Step 3: Cross multiply
    30,550.12x = 45,832.34 × 9,489.09
  4. Step 4: Simplify right side
    30,550.12x = 434,907,199.17
  5. Step 5: Solve for x
    x = 434,907,199.17/30,550.12
  6. Step 6: Final answer
    x = 14,235.86

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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.