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Finding the Fourth Proportional to 74,777, 103,194.42 and 41,245.16

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Solution

The fourth proportional to 74,777, 103,194.42 and 41,245.16 is: 56,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,777 : 103,194.42 = 41,245.16 : x
  2. Step 2: Convert to fraction form
    74,777/103,194.42 = 41,245.16/x
  3. Step 3: Cross multiply
    74,777x = 103,194.42 × 41,245.16
  4. Step 4: Simplify right side
    74,777x = 4,256,270,364.01
  5. Step 5: Solve for x
    x = 4,256,270,364.01/74,777
  6. Step 6: Final answer
    x = 56,919.51

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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.