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Finding the Fourth Proportional to 41,978.62, 57,928.23 and 24,074.38

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Solution

The fourth proportional to 41,978.62, 57,928.23 and 24,074.38 is: 33,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.62 : 57,928.23 = 24,074.38 : x
  2. Step 2: Convert to fraction form
    41,978.62/57,928.23 = 24,074.38/x
  3. Step 3: Cross multiply
    41,978.62x = 57,928.23 × 24,074.38
  4. Step 4: Simplify right side
    41,978.62x = 1,394,586,221.75
  5. Step 5: Solve for x
    x = 1,394,586,221.75/41,978.62
  6. Step 6: Final answer
    x = 33,221.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.