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Finding the Fourth Proportional to 33,889.87, 50,834.04 and 11,701.16

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Solution

The fourth proportional to 33,889.87, 50,834.04 and 11,701.16 is: 17,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,889.87 : 50,834.04 = 11,701.16 : x
  2. Step 2: Convert to fraction form
    33,889.87/50,834.04 = 11,701.16/x
  3. Step 3: Cross multiply
    33,889.87x = 50,834.04 × 11,701.16
  4. Step 4: Simplify right side
    33,889.87x = 594,817,128.06
  5. Step 5: Solve for x
    x = 594,817,128.06/33,889.87
  6. Step 6: Final answer
    x = 17,551.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.