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Finding the Fourth Proportional to 30,205.50, 45,164.07 and 27,558.69

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Solution

The fourth proportional to 30,205.50, 45,164.07 and 27,558.69 is: 41,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.50 : 45,164.07 = 27,558.69 : x
  2. Step 2: Convert to fraction form
    30,205.50/45,164.07 = 27,558.69/x
  3. Step 3: Cross multiply
    30,205.50x = 45,164.07 × 27,558.69
  4. Step 4: Simplify right side
    30,205.50x = 1,244,662,604.27
  5. Step 5: Solve for x
    x = 1,244,662,604.27/30,205.50
  6. Step 6: Final answer
    x = 41,206.49

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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.