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Finding the Fourth Proportional to 75,893.16, 104,738.82 and 41,905.02

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Solution

The fourth proportional to 75,893.16, 104,738.82 and 41,905.02 is: 57,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.16 : 104,738.82 = 41,905.02 : x
  2. Step 2: Convert to fraction form
    75,893.16/104,738.82 = 41,905.02/x
  3. Step 3: Cross multiply
    75,893.16x = 104,738.82 × 41,905.02
  4. Step 4: Simplify right side
    75,893.16x = 4,389,082,346.88
  5. Step 5: Solve for x
    x = 4,389,082,346.88/75,893.16
  6. Step 6: Final answer
    x = 57,832.38

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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.