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Finding the Fourth Proportional to 43,321.64, 64,982.34 and 35,448.44

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Solution

The fourth proportional to 43,321.64, 64,982.34 and 35,448.44 is: 53,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,321.64 : 64,982.34 = 35,448.44 : x
  2. Step 2: Convert to fraction form
    43,321.64/64,982.34 = 35,448.44/x
  3. Step 3: Cross multiply
    43,321.64x = 64,982.34 × 35,448.44
  4. Step 4: Simplify right side
    43,321.64x = 2,303,522,580.55
  5. Step 5: Solve for x
    x = 2,303,522,580.55/43,321.64
  6. Step 6: Final answer
    x = 53,172.56

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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.