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Finding the Fourth Proportional to 38,409.80, 57,575.21 and 27,853.47

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Solution

The fourth proportional to 38,409.80, 57,575.21 and 27,853.47 is: 41,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.80 : 57,575.21 = 27,853.47 : x
  2. Step 2: Convert to fraction form
    38,409.80/57,575.21 = 27,853.47/x
  3. Step 3: Cross multiply
    38,409.80x = 57,575.21 × 27,853.47
  4. Step 4: Simplify right side
    38,409.80x = 1,603,669,245.21
  5. Step 5: Solve for x
    x = 1,603,669,245.21/38,409.80
  6. Step 6: Final answer
    x = 41,751.57

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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.