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Finding the Fourth Proportional to 75,843.34, 104,664.11 and 41,852.81

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Solution

The fourth proportional to 75,843.34, 104,664.11 and 41,852.81 is: 57,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.34 : 104,664.11 = 41,852.81 : x
  2. Step 2: Convert to fraction form
    75,843.34/104,664.11 = 41,852.81/x
  3. Step 3: Cross multiply
    75,843.34x = 104,664.11 × 41,852.81
  4. Step 4: Simplify right side
    75,843.34x = 4,380,487,162.05
  5. Step 5: Solve for x
    x = 4,380,487,162.05/75,843.34
  6. Step 6: Final answer
    x = 57,757.05

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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.