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Finding the Fourth Proportional to 33,047.74, 49,583.76 and 15,286.96

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Solution

The fourth proportional to 33,047.74, 49,583.76 and 15,286.96 is: 22,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.74 : 49,583.76 = 15,286.96 : x
  2. Step 2: Convert to fraction form
    33,047.74/49,583.76 = 15,286.96/x
  3. Step 3: Cross multiply
    33,047.74x = 49,583.76 × 15,286.96
  4. Step 4: Simplify right side
    33,047.74x = 757,984,955.77
  5. Step 5: Solve for x
    x = 757,984,955.77/33,047.74
  6. Step 6: Final answer
    x = 22,936.06

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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.