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Finding the Fourth Proportional to 29,065.50, 43,614 and 22,504.50

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Solution

The fourth proportional to 29,065.50, 43,614 and 22,504.50 is: 33,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065.50 : 43,614 = 22,504.50 : x
  2. Step 2: Convert to fraction form
    29,065.50/43,614 = 22,504.50/x
  3. Step 3: Cross multiply
    29,065.50x = 43,614 × 22,504.50
  4. Step 4: Simplify right side
    29,065.50x = 981,511,263
  5. Step 5: Solve for x
    x = 981,511,263/29,065.50
  6. Step 6: Final answer
    x = 33,768.94

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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.