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Finding the Fourth Proportional to 33,076.50, 49,548.06 and 15,282.06

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Solution

The fourth proportional to 33,076.50, 49,548.06 and 15,282.06 is: 22,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.50 : 49,548.06 = 15,282.06 : x
  2. Step 2: Convert to fraction form
    33,076.50/49,548.06 = 15,282.06/x
  3. Step 3: Cross multiply
    33,076.50x = 49,548.06 × 15,282.06
  4. Step 4: Simplify right side
    33,076.50x = 757,196,425.80
  5. Step 5: Solve for x
    x = 757,196,425.80/33,076.50
  6. Step 6: Final answer
    x = 22,892.28

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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.