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Finding the Fourth Proportional to 74,035.54, 102,169.07 and 41,777

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Solution

The fourth proportional to 74,035.54, 102,169.07 and 41,777 is: 57,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,035.54 : 102,169.07 = 41,777 : x
  2. Step 2: Convert to fraction form
    74,035.54/102,169.07 = 41,777/x
  3. Step 3: Cross multiply
    74,035.54x = 102,169.07 × 41,777
  4. Step 4: Simplify right side
    74,035.54x = 4,268,317,237.39
  5. Step 5: Solve for x
    x = 4,268,317,237.39/74,035.54
  6. Step 6: Final answer
    x = 57,652.27

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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.