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Finding the Fourth Proportional to 75,330, 103,958.64 and 41,796

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Solution

The fourth proportional to 75,330, 103,958.64 and 41,796 is: 57,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 103,958.64 = 41,796 : x
  2. Step 2: Convert to fraction form
    75,330/103,958.64 = 41,796/x
  3. Step 3: Cross multiply
    75,330x = 103,958.64 × 41,796
  4. Step 4: Simplify right side
    75,330x = 4,345,055,317.44
  5. Step 5: Solve for x
    x = 4,345,055,317.44/75,330
  6. Step 6: Final answer
    x = 57,680.28

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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.