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Finding the Fourth Proportional to 75,536.94, 104,241.68 and 41,082

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Solution

The fourth proportional to 75,536.94, 104,241.68 and 41,082 is: 56,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,536.94 : 104,241.68 = 41,082 : x
  2. Step 2: Convert to fraction form
    75,536.94/104,241.68 = 41,082/x
  3. Step 3: Cross multiply
    75,536.94x = 104,241.68 × 41,082
  4. Step 4: Simplify right side
    75,536.94x = 4,282,456,697.76
  5. Step 5: Solve for x
    x = 4,282,456,697.76/75,536.94
  6. Step 6: Final answer
    x = 56,693.54

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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.