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Finding the Fourth Proportional to 75,846.63, 104,663.63 and 41,855.39

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Solution

The fourth proportional to 75,846.63, 104,663.63 and 41,855.39 is: 57,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.63 : 104,663.63 = 41,855.39 : x
  2. Step 2: Convert to fraction form
    75,846.63/104,663.63 = 41,855.39/x
  3. Step 3: Cross multiply
    75,846.63x = 104,663.63 × 41,855.39
  4. Step 4: Simplify right side
    75,846.63x = 4,380,736,319.87
  5. Step 5: Solve for x
    x = 4,380,736,319.87/75,846.63
  6. Step 6: Final answer
    x = 57,757.82

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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.