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Finding the Fourth Proportional to 37,012.50, 51,077.25 and 20,245.86

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Solution

The fourth proportional to 37,012.50, 51,077.25 and 20,245.86 is: 27,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012.50 : 51,077.25 = 20,245.86 : x
  2. Step 2: Convert to fraction form
    37,012.50/51,077.25 = 20,245.86/x
  3. Step 3: Cross multiply
    37,012.50x = 51,077.25 × 20,245.86
  4. Step 4: Simplify right side
    37,012.50x = 1,034,102,852.69
  5. Step 5: Solve for x
    x = 1,034,102,852.69/37,012.50
  6. Step 6: Final answer
    x = 27,939.29

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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.