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Finding the Fourth Proportional to 37,181.70, 51,311.00 and 20,186.21

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Solution

The fourth proportional to 37,181.70, 51,311.00 and 20,186.21 is: 27,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,181.70 : 51,311.00 = 20,186.21 : x
  2. Step 2: Convert to fraction form
    37,181.70/51,311.00 = 20,186.21/x
  3. Step 3: Cross multiply
    37,181.70x = 51,311.00 × 20,186.21
  4. Step 4: Simplify right side
    37,181.70x = 1,035,774,800.05
  5. Step 5: Solve for x
    x = 1,035,774,800.05/37,181.70
  6. Step 6: Final answer
    x = 27,857.11

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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.