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Finding the Fourth Proportional to 51,295.28, 76,942.44 and 16,234.96

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Solution

The fourth proportional to 51,295.28, 76,942.44 and 16,234.96 is: 24,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,295.28 : 76,942.44 = 16,234.96 : x
  2. Step 2: Convert to fraction form
    51,295.28/76,942.44 = 16,234.96/x
  3. Step 3: Cross multiply
    51,295.28x = 76,942.44 × 16,234.96
  4. Step 4: Simplify right side
    51,295.28x = 1,249,157,435.70
  5. Step 5: Solve for x
    x = 1,249,157,435.70/51,295.28
  6. Step 6: Final answer
    x = 24,352.29

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Why These Related Problems?

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