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Finding the Fourth Proportional to 32,667, 45,080.46 and 17,763

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Solution

The fourth proportional to 32,667, 45,080.46 and 17,763 is: 24,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 45,080.46 = 17,763 : x
  2. Step 2: Convert to fraction form
    32,667/45,080.46 = 17,763/x
  3. Step 3: Cross multiply
    32,667x = 45,080.46 × 17,763
  4. Step 4: Simplify right side
    32,667x = 800,764,210.98
  5. Step 5: Solve for x
    x = 800,764,210.98/32,667
  6. Step 6: Final answer
    x = 24,512.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.