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Finding the Fourth Proportional to 74,800, 103,224.32 and 41,268.48

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Solution

The fourth proportional to 74,800, 103,224.32 and 41,268.48 is: 56,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,800 : 103,224.32 = 41,268.48 : x
  2. Step 2: Convert to fraction form
    74,800/103,224.32 = 41,268.48/x
  3. Step 3: Cross multiply
    74,800x = 103,224.32 × 41,268.48
  4. Step 4: Simplify right side
    74,800x = 4,259,910,785.43
  5. Step 5: Solve for x
    x = 4,259,910,785.43/74,800
  6. Step 6: Final answer
    x = 56,950.68

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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.