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Finding the Fourth Proportional to 33,782.67, 50,658.95 and 17,984.32

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Solution

The fourth proportional to 33,782.67, 50,658.95 and 17,984.32 is: 26,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.67 : 50,658.95 = 17,984.32 : x
  2. Step 2: Convert to fraction form
    33,782.67/50,658.95 = 17,984.32/x
  3. Step 3: Cross multiply
    33,782.67x = 50,658.95 × 17,984.32
  4. Step 4: Simplify right side
    33,782.67x = 911,066,685.98
  5. Step 5: Solve for x
    x = 911,066,685.98/33,782.67
  6. Step 6: Final answer
    x = 26,968.46

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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.