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Finding the Fourth Proportional to 49,313.89, 68,049.76 and 27,804.41

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Solution

The fourth proportional to 49,313.89, 68,049.76 and 27,804.41 is: 38,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313.89 : 68,049.76 = 27,804.41 : x
  2. Step 2: Convert to fraction form
    49,313.89/68,049.76 = 27,804.41/x
  3. Step 3: Cross multiply
    49,313.89x = 68,049.76 × 27,804.41
  4. Step 4: Simplify right side
    49,313.89x = 1,892,083,427.44
  5. Step 5: Solve for x
    x = 1,892,083,427.44/49,313.89
  6. Step 6: Final answer
    x = 38,368.16

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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.