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Finding the Fourth Proportional to 82,480.92, 113,753.46 and 55,588.11

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Solution

The fourth proportional to 82,480.92, 113,753.46 and 55,588.11 is: 76,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.92 : 113,753.46 = 55,588.11 : x
  2. Step 2: Convert to fraction form
    82,480.92/113,753.46 = 55,588.11/x
  3. Step 3: Cross multiply
    82,480.92x = 113,753.46 × 55,588.11
  4. Step 4: Simplify right side
    82,480.92x = 6,323,339,847.36
  5. Step 5: Solve for x
    x = 6,323,339,847.36/82,480.92
  6. Step 6: Final answer
    x = 76,664.27

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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.