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Finding the Fourth Proportional to 82,481.72, 113,817.84 and 48,491.32

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Solution

The fourth proportional to 82,481.72, 113,817.84 and 48,491.32 is: 66,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.72 : 113,817.84 = 48,491.32 : x
  2. Step 2: Convert to fraction form
    82,481.72/113,817.84 = 48,491.32/x
  3. Step 3: Cross multiply
    82,481.72x = 113,817.84 × 48,491.32
  4. Step 4: Simplify right side
    82,481.72x = 5,519,177,301.15
  5. Step 5: Solve for x
    x = 5,519,177,301.15/82,481.72
  6. Step 6: Final answer
    x = 66,913.95

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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.