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Finding the Fourth Proportional to 33,982.38, 50,968.62 and 9,023.94

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Solution

The fourth proportional to 33,982.38, 50,968.62 and 9,023.94 is: 13,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.38 : 50,968.62 = 9,023.94 : x
  2. Step 2: Convert to fraction form
    33,982.38/50,968.62 = 9,023.94/x
  3. Step 3: Cross multiply
    33,982.38x = 50,968.62 × 9,023.94
  4. Step 4: Simplify right side
    33,982.38x = 459,937,768.76
  5. Step 5: Solve for x
    x = 459,937,768.76/33,982.38
  6. Step 6: Final answer
    x = 13,534.60

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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.