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Finding the Fourth Proportional to 71,546.44, 98,739.06 and 41,341.96

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Solution

The fourth proportional to 71,546.44, 98,739.06 and 41,341.96 is: 57,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.44 : 98,739.06 = 41,341.96 : x
  2. Step 2: Convert to fraction form
    71,546.44/98,739.06 = 41,341.96/x
  3. Step 3: Cross multiply
    71,546.44x = 98,739.06 × 41,341.96
  4. Step 4: Simplify right side
    71,546.44x = 4,082,066,268.96
  5. Step 5: Solve for x
    x = 4,082,066,268.96/71,546.44
  6. Step 6: Final answer
    x = 57,054.78

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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.