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Finding the Fourth Proportional to 49,466.55, 68,267.19 and 27,948.84

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Solution

The fourth proportional to 49,466.55, 68,267.19 and 27,948.84 is: 38,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,466.55 : 68,267.19 = 27,948.84 : x
  2. Step 2: Convert to fraction form
    49,466.55/68,267.19 = 27,948.84/x
  3. Step 3: Cross multiply
    49,466.55x = 68,267.19 × 27,948.84
  4. Step 4: Simplify right side
    49,466.55x = 1,907,988,770.56
  5. Step 5: Solve for x
    x = 1,907,988,770.56/49,466.55
  6. Step 6: Final answer
    x = 38,571.29

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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.