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Finding the Fourth Proportional to 84,481.56, 116,596.92 and 48,664.68

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Solution

The fourth proportional to 84,481.56, 116,596.92 and 48,664.68 is: 67,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,481.56 : 116,596.92 = 48,664.68 : x
  2. Step 2: Convert to fraction form
    84,481.56/116,596.92 = 48,664.68/x
  3. Step 3: Cross multiply
    84,481.56x = 116,596.92 × 48,664.68
  4. Step 4: Simplify right side
    84,481.56x = 5,674,151,800.79
  5. Step 5: Solve for x
    x = 5,674,151,800.79/84,481.56
  6. Step 6: Final answer
    x = 67,164.38

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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.