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Finding the Fourth Proportional to 30,246.96, 45,365.34 and 9,181.96

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Solution

The fourth proportional to 30,246.96, 45,365.34 and 9,181.96 is: 13,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.96 : 45,365.34 = 9,181.96 : x
  2. Step 2: Convert to fraction form
    30,246.96/45,365.34 = 9,181.96/x
  3. Step 3: Cross multiply
    30,246.96x = 45,365.34 × 9,181.96
  4. Step 4: Simplify right side
    30,246.96x = 416,542,737.27
  5. Step 5: Solve for x
    x = 416,542,737.27/30,246.96
  6. Step 6: Final answer
    x = 13,771.39

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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.