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Finding the Fourth Proportional to 33,808.98, 50,714.63 and 11,622.17

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Solution

The fourth proportional to 33,808.98, 50,714.63 and 11,622.17 is: 17,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,808.98 : 50,714.63 = 11,622.17 : x
  2. Step 2: Convert to fraction form
    33,808.98/50,714.63 = 11,622.17/x
  3. Step 3: Cross multiply
    33,808.98x = 50,714.63 × 11,622.17
  4. Step 4: Simplify right side
    33,808.98x = 589,413,739.66
  5. Step 5: Solve for x
    x = 589,413,739.66/33,808.98
  6. Step 6: Final answer
    x = 17,433.64

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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.