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Finding the Fourth Proportional to 37,505.67, 51,757.70 and 20,738.67

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Solution

The fourth proportional to 37,505.67, 51,757.70 and 20,738.67 is: 28,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.67 : 51,757.70 = 20,738.67 : x
  2. Step 2: Convert to fraction form
    37,505.67/51,757.70 = 20,738.67/x
  3. Step 3: Cross multiply
    37,505.67x = 51,757.70 × 20,738.67
  4. Step 4: Simplify right side
    37,505.67x = 1,073,385,756.57
  5. Step 5: Solve for x
    x = 1,073,385,756.57/37,505.67
  6. Step 6: Final answer
    x = 28,619.29

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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.