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Finding the Fourth Proportional to 55,474.50, 83,211.75 and 18,538.50

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Solution

The fourth proportional to 55,474.50, 83,211.75 and 18,538.50 is: 27,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474.50 : 83,211.75 = 18,538.50 : x
  2. Step 2: Convert to fraction form
    55,474.50/83,211.75 = 18,538.50/x
  3. Step 3: Cross multiply
    55,474.50x = 83,211.75 × 18,538.50
  4. Step 4: Simplify right side
    55,474.50x = 1,542,621,027.38
  5. Step 5: Solve for x
    x = 1,542,621,027.38/55,474.50
  6. Step 6: Final answer
    x = 27,807.75

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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.