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Finding the Fourth Proportional to 32,202.36, 48,314.34 and 12,481.56

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Solution

The fourth proportional to 32,202.36, 48,314.34 and 12,481.56 is: 18,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.36 : 48,314.34 = 12,481.56 : x
  2. Step 2: Convert to fraction form
    32,202.36/48,314.34 = 12,481.56/x
  3. Step 3: Cross multiply
    32,202.36x = 48,314.34 × 12,481.56
  4. Step 4: Simplify right side
    32,202.36x = 603,038,333.57
  5. Step 5: Solve for x
    x = 603,038,333.57/32,202.36
  6. Step 6: Final answer
    x = 18,726.53

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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.