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Finding the Fourth Proportional to 33,712.50, 50,583.68 and 17,698.27

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Solution

The fourth proportional to 33,712.50, 50,583.68 and 17,698.27 is: 26,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.50 : 50,583.68 = 17,698.27 : x
  2. Step 2: Convert to fraction form
    33,712.50/50,583.68 = 17,698.27/x
  3. Step 3: Cross multiply
    33,712.50x = 50,583.68 × 17,698.27
  4. Step 4: Simplify right side
    33,712.50x = 895,243,600.97
  5. Step 5: Solve for x
    x = 895,243,600.97/33,712.50
  6. Step 6: Final answer
    x = 26,555.24

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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.