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Finding the Fourth Proportional to 33,439, 50,181.54 and 11,551

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Solution

The fourth proportional to 33,439, 50,181.54 and 11,551 is: 17,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439 : 50,181.54 = 11,551 : x
  2. Step 2: Convert to fraction form
    33,439/50,181.54 = 11,551/x
  3. Step 3: Cross multiply
    33,439x = 50,181.54 × 11,551
  4. Step 4: Simplify right side
    33,439x = 579,646,968.54
  5. Step 5: Solve for x
    x = 579,646,968.54/33,439
  6. Step 6: Final answer
    x = 17,334.46

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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.