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Finding the Fourth Proportional to 41,505.75, 57,277.94 and 24,738.75

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Solution

The fourth proportional to 41,505.75, 57,277.94 and 24,738.75 is: 34,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505.75 : 57,277.94 = 24,738.75 : x
  2. Step 2: Convert to fraction form
    41,505.75/57,277.94 = 24,738.75/x
  3. Step 3: Cross multiply
    41,505.75x = 57,277.94 × 24,738.75
  4. Step 4: Simplify right side
    41,505.75x = 1,416,984,514.48
  5. Step 5: Solve for x
    x = 1,416,984,514.48/41,505.75
  6. Step 6: Final answer
    x = 34,139.48

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