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Finding the Fourth Proportional to 33,165.36, 49,715.28 and 13,431.42

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Solution

The fourth proportional to 33,165.36, 49,715.28 and 13,431.42 is: 20,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.36 : 49,715.28 = 13,431.42 : x
  2. Step 2: Convert to fraction form
    33,165.36/49,715.28 = 13,431.42/x
  3. Step 3: Cross multiply
    33,165.36x = 49,715.28 × 13,431.42
  4. Step 4: Simplify right side
    33,165.36x = 667,746,806.10
  5. Step 5: Solve for x
    x = 667,746,806.10/33,165.36
  6. Step 6: Final answer
    x = 20,133.86

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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.