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Finding the Fourth Proportional to 74,796.96, 103,218 and 41,262.24

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Solution

The fourth proportional to 74,796.96, 103,218 and 41,262.24 is: 56,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,796.96 : 103,218 = 41,262.24 : x
  2. Step 2: Convert to fraction form
    74,796.96/103,218 = 41,262.24/x
  3. Step 3: Cross multiply
    74,796.96x = 103,218 × 41,262.24
  4. Step 4: Simplify right side
    74,796.96x = 4,259,005,888.32
  5. Step 5: Solve for x
    x = 4,259,005,888.32/74,796.96
  6. Step 6: Final answer
    x = 56,940.90

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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.