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Finding the Fourth Proportional to 33,047.80, 49,571.80 and 23,231

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Solution

The fourth proportional to 33,047.80, 49,571.80 and 23,231 is: 34,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.80 : 49,571.80 = 23,231 : x
  2. Step 2: Convert to fraction form
    33,047.80/49,571.80 = 23,231/x
  3. Step 3: Cross multiply
    33,047.80x = 49,571.80 × 23,231
  4. Step 4: Simplify right side
    33,047.80x = 1,151,602,485.80
  5. Step 5: Solve for x
    x = 1,151,602,485.80/33,047.80
  6. Step 6: Final answer
    x = 34,846.57

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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.