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Finding the Fourth Proportional to 32,984.24, 49,478.48 and 11,634.33

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Solution

The fourth proportional to 32,984.24, 49,478.48 and 11,634.33 is: 17,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.24 : 49,478.48 = 11,634.33 : x
  2. Step 2: Convert to fraction form
    32,984.24/49,478.48 = 11,634.33/x
  3. Step 3: Cross multiply
    32,984.24x = 49,478.48 × 11,634.33
  4. Step 4: Simplify right side
    32,984.24x = 575,648,906.05
  5. Step 5: Solve for x
    x = 575,648,906.05/32,984.24
  6. Step 6: Final answer
    x = 17,452.24

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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.