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Finding the Fourth Proportional to 33,165.74, 49,715.84 and 13,431.80

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Solution

The fourth proportional to 33,165.74, 49,715.84 and 13,431.80 is: 20,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.74 : 49,715.84 = 13,431.80 : x
  2. Step 2: Convert to fraction form
    33,165.74/49,715.84 = 13,431.80/x
  3. Step 3: Cross multiply
    33,165.74x = 49,715.84 × 13,431.80
  4. Step 4: Simplify right side
    33,165.74x = 667,773,004.71
  5. Step 5: Solve for x
    x = 667,773,004.71/33,165.74
  6. Step 6: Final answer
    x = 20,134.43

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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.