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Finding the Fourth Proportional to 75,161.74, 103,724.76 and 41,171.68

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Solution

The fourth proportional to 75,161.74, 103,724.76 and 41,171.68 is: 56,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161.74 : 103,724.76 = 41,171.68 : x
  2. Step 2: Convert to fraction form
    75,161.74/103,724.76 = 41,171.68/x
  3. Step 3: Cross multiply
    75,161.74x = 103,724.76 × 41,171.68
  4. Step 4: Simplify right side
    75,161.74x = 4,270,522,626.80
  5. Step 5: Solve for x
    x = 4,270,522,626.80/75,161.74
  6. Step 6: Final answer
    x = 56,817.77

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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.