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Finding the Fourth Proportional to 71,241.54, 98,310.42 and 41,028

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Solution

The fourth proportional to 71,241.54, 98,310.42 and 41,028 is: 56,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,241.54 : 98,310.42 = 41,028 : x
  2. Step 2: Convert to fraction form
    71,241.54/98,310.42 = 41,028/x
  3. Step 3: Cross multiply
    71,241.54x = 98,310.42 × 41,028
  4. Step 4: Simplify right side
    71,241.54x = 4,033,479,911.76
  5. Step 5: Solve for x
    x = 4,033,479,911.76/71,241.54
  6. Step 6: Final answer
    x = 56,616.97

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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.