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Finding the Fourth Proportional to 75,958.78, 104,822.76 and 41,967.26

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Solution

The fourth proportional to 75,958.78, 104,822.76 and 41,967.26 is: 57,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.78 : 104,822.76 = 41,967.26 : x
  2. Step 2: Convert to fraction form
    75,958.78/104,822.76 = 41,967.26/x
  3. Step 3: Cross multiply
    75,958.78x = 104,822.76 × 41,967.26
  4. Step 4: Simplify right side
    75,958.78x = 4,399,124,022.84
  5. Step 5: Solve for x
    x = 4,399,124,022.84/75,958.78
  6. Step 6: Final answer
    x = 57,914.62

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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.