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Finding the Fourth Proportional to 49,578.84, 74,379.96 and 16,299

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Solution

The fourth proportional to 49,578.84, 74,379.96 and 16,299 is: 24,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.84 : 74,379.96 = 16,299 : x
  2. Step 2: Convert to fraction form
    49,578.84/74,379.96 = 16,299/x
  3. Step 3: Cross multiply
    49,578.84x = 74,379.96 × 16,299
  4. Step 4: Simplify right side
    49,578.84x = 1,212,318,968.04
  5. Step 5: Solve for x
    x = 1,212,318,968.04/49,578.84
  6. Step 6: Final answer
    x = 24,452.35

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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.