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Finding the Fourth Proportional to 51,246.44, 76,861.02 and 16,181

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Solution

The fourth proportional to 51,246.44, 76,861.02 and 16,181 is: 24,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,246.44 : 76,861.02 = 16,181 : x
  2. Step 2: Convert to fraction form
    51,246.44/76,861.02 = 16,181/x
  3. Step 3: Cross multiply
    51,246.44x = 76,861.02 × 16,181
  4. Step 4: Simplify right side
    51,246.44x = 1,243,688,164.62
  5. Step 5: Solve for x
    x = 1,243,688,164.62/51,246.44
  6. Step 6: Final answer
    x = 24,268.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.