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Finding the Fourth Proportional to 33,072, 45,638.85 and 17,964.84

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Solution

The fourth proportional to 33,072, 45,638.85 and 17,964.84 is: 24,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 45,638.85 = 17,964.84 : x
  2. Step 2: Convert to fraction form
    33,072/45,638.85 = 17,964.84/x
  3. Step 3: Cross multiply
    33,072x = 45,638.85 × 17,964.84
  4. Step 4: Simplify right side
    33,072x = 819,894,638.03
  5. Step 5: Solve for x
    x = 819,894,638.03/33,072
  6. Step 6: Final answer
    x = 24,791.20

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