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Finding the Fourth Proportional to 32,883.20, 49,324.80 and 12,114.80

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Solution

The fourth proportional to 32,883.20, 49,324.80 and 12,114.80 is: 18,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.20 : 49,324.80 = 12,114.80 : x
  2. Step 2: Convert to fraction form
    32,883.20/49,324.80 = 12,114.80/x
  3. Step 3: Cross multiply
    32,883.20x = 49,324.80 × 12,114.80
  4. Step 4: Simplify right side
    32,883.20x = 597,560,087.04
  5. Step 5: Solve for x
    x = 597,560,087.04/32,883.20
  6. Step 6: Final answer
    x = 18,172.20

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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.