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Finding the Fourth Proportional to 75,932.33, 104,786.10 and 41,943

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Solution

The fourth proportional to 75,932.33, 104,786.10 and 41,943 is: 57,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932.33 : 104,786.10 = 41,943 : x
  2. Step 2: Convert to fraction form
    75,932.33/104,786.10 = 41,943/x
  3. Step 3: Cross multiply
    75,932.33x = 104,786.10 × 41,943
  4. Step 4: Simplify right side
    75,932.33x = 4,395,043,392.30
  5. Step 5: Solve for x
    x = 4,395,043,392.30/75,932.33
  6. Step 6: Final answer
    x = 57,881.06

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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.