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Finding the Fourth Proportional to 33,664.80, 50,497.20 and 11,476.20

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Solution

The fourth proportional to 33,664.80, 50,497.20 and 11,476.20 is: 17,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664.80 : 50,497.20 = 11,476.20 : x
  2. Step 2: Convert to fraction form
    33,664.80/50,497.20 = 11,476.20/x
  3. Step 3: Cross multiply
    33,664.80x = 50,497.20 × 11,476.20
  4. Step 4: Simplify right side
    33,664.80x = 579,515,966.64
  5. Step 5: Solve for x
    x = 579,515,966.64/33,664.80
  6. Step 6: Final answer
    x = 17,214.30

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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.