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Finding the Fourth Proportional to 51,200.50, 76,800.75 and 12,288.50

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Solution

The fourth proportional to 51,200.50, 76,800.75 and 12,288.50 is: 18,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200.50 : 76,800.75 = 12,288.50 : x
  2. Step 2: Convert to fraction form
    51,200.50/76,800.75 = 12,288.50/x
  3. Step 3: Cross multiply
    51,200.50x = 76,800.75 × 12,288.50
  4. Step 4: Simplify right side
    51,200.50x = 943,766,016.38
  5. Step 5: Solve for x
    x = 943,766,016.38/51,200.50
  6. Step 6: Final answer
    x = 18,432.75

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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.