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Finding the Fourth Proportional to 32,914.80, 49,333.80 and 13,183.60

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Solution

The fourth proportional to 32,914.80, 49,333.80 and 13,183.60 is: 19,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.80 : 49,333.80 = 13,183.60 : x
  2. Step 2: Convert to fraction form
    32,914.80/49,333.80 = 13,183.60/x
  3. Step 3: Cross multiply
    32,914.80x = 49,333.80 × 13,183.60
  4. Step 4: Simplify right side
    32,914.80x = 650,397,085.68
  5. Step 5: Solve for x
    x = 650,397,085.68/32,914.80
  6. Step 6: Final answer
    x = 19,760.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.