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Finding the Fourth Proportional to 33,238.71, 49,856.67 and 13,516.52

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Solution

The fourth proportional to 33,238.71, 49,856.67 and 13,516.52 is: 20,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.71 : 49,856.67 = 13,516.52 : x
  2. Step 2: Convert to fraction form
    33,238.71/49,856.67 = 13,516.52/x
  3. Step 3: Cross multiply
    33,238.71x = 49,856.67 × 13,516.52
  4. Step 4: Simplify right side
    33,238.71x = 673,888,427.91
  5. Step 5: Solve for x
    x = 673,888,427.91/33,238.71
  6. Step 6: Final answer
    x = 20,274.21

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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.