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Finding the Fourth Proportional to 32,448.36, 48,662.82 and 11,667

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Solution

The fourth proportional to 32,448.36, 48,662.82 and 11,667 is: 17,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.36 : 48,662.82 = 11,667 : x
  2. Step 2: Convert to fraction form
    32,448.36/48,662.82 = 11,667/x
  3. Step 3: Cross multiply
    32,448.36x = 48,662.82 × 11,667
  4. Step 4: Simplify right side
    32,448.36x = 567,749,120.94
  5. Step 5: Solve for x
    x = 567,749,120.94/32,448.36
  6. Step 6: Final answer
    x = 17,497.01

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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.