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Finding the Fourth Proportional to 37,022.20, 51,090.22 and 20,255

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Solution

The fourth proportional to 37,022.20, 51,090.22 and 20,255 is: 27,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,022.20 : 51,090.22 = 20,255 : x
  2. Step 2: Convert to fraction form
    37,022.20/51,090.22 = 20,255/x
  3. Step 3: Cross multiply
    37,022.20x = 51,090.22 × 20,255
  4. Step 4: Simplify right side
    37,022.20x = 1,034,832,406.10
  5. Step 5: Solve for x
    x = 1,034,832,406.10/37,022.20
  6. Step 6: Final answer
    x = 27,951.67

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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.