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Finding the Fourth Proportional to 75,171.92, 103,738.32 and 41,179.64

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Solution

The fourth proportional to 75,171.92, 103,738.32 and 41,179.64 is: 56,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171.92 : 103,738.32 = 41,179.64 : x
  2. Step 2: Convert to fraction form
    75,171.92/103,738.32 = 41,179.64/x
  3. Step 3: Cross multiply
    75,171.92x = 103,738.32 × 41,179.64
  4. Step 4: Simplify right side
    75,171.92x = 4,271,906,671.80
  5. Step 5: Solve for x
    x = 4,271,906,671.80/75,171.92
  6. Step 6: Final answer
    x = 56,828.49

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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.