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Finding the Fourth Proportional to 48,328, 66,692.82 and 28,198.78

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Solution

The fourth proportional to 48,328, 66,692.82 and 28,198.78 is: 38,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,328 : 66,692.82 = 28,198.78 : x
  2. Step 2: Convert to fraction form
    48,328/66,692.82 = 28,198.78/x
  3. Step 3: Cross multiply
    48,328x = 66,692.82 × 28,198.78
  4. Step 4: Simplify right side
    48,328x = 1,880,656,158.76
  5. Step 5: Solve for x
    x = 1,880,656,158.76/48,328
  6. Step 6: Final answer
    x = 38,914.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.