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Finding the Fourth Proportional to 75,902.48, 104,749.49 and 41,910.84

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Solution

The fourth proportional to 75,902.48, 104,749.49 and 41,910.84 is: 57,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902.48 : 104,749.49 = 41,910.84 : x
  2. Step 2: Convert to fraction form
    75,902.48/104,749.49 = 41,910.84/x
  3. Step 3: Cross multiply
    75,902.48x = 104,749.49 × 41,910.84
  4. Step 4: Simplify right side
    75,902.48x = 4,390,139,220.25
  5. Step 5: Solve for x
    x = 4,390,139,220.25/75,902.48
  6. Step 6: Final answer
    x = 57,839.21

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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.