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Finding the Fourth Proportional to 49,583.16, 74,377.26 and 16,300.44

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Solution

The fourth proportional to 49,583.16, 74,377.26 and 16,300.44 is: 24,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583.16 : 74,377.26 = 16,300.44 : x
  2. Step 2: Convert to fraction form
    49,583.16/74,377.26 = 16,300.44/x
  3. Step 3: Cross multiply
    49,583.16x = 74,377.26 × 16,300.44
  4. Step 4: Simplify right side
    49,583.16x = 1,212,382,063.99
  5. Step 5: Solve for x
    x = 1,212,382,063.99/49,583.16
  6. Step 6: Final answer
    x = 24,451.49

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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.