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Finding the Fourth Proportional to 55,247.50, 82,871.26 and 18,311.50

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Solution

The fourth proportional to 55,247.50, 82,871.26 and 18,311.50 is: 27,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,247.50 : 82,871.26 = 18,311.50 : x
  2. Step 2: Convert to fraction form
    55,247.50/82,871.26 = 18,311.50/x
  3. Step 3: Cross multiply
    55,247.50x = 82,871.26 × 18,311.50
  4. Step 4: Simplify right side
    55,247.50x = 1,517,497,077.49
  5. Step 5: Solve for x
    x = 1,517,497,077.49/55,247.50
  6. Step 6: Final answer
    x = 27,467.25

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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.