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Finding the Fourth Proportional to 49,942.98, 74,898 and 16,653.87

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Solution

The fourth proportional to 49,942.98, 74,898 and 16,653.87 is: 24,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,942.98 : 74,898 = 16,653.87 : x
  2. Step 2: Convert to fraction form
    49,942.98/74,898 = 16,653.87/x
  3. Step 3: Cross multiply
    49,942.98x = 74,898 × 16,653.87
  4. Step 4: Simplify right side
    49,942.98x = 1,247,341,555.26
  5. Step 5: Solve for x
    x = 1,247,341,555.26/49,942.98
  6. Step 6: Final answer
    x = 24,975.31

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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.