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Finding the Fourth Proportional to 71,405.92, 98,552.36 and 41,185.80

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Solution

The fourth proportional to 71,405.92, 98,552.36 and 41,185.80 is: 56,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.92 : 98,552.36 = 41,185.80 : x
  2. Step 2: Convert to fraction form
    71,405.92/98,552.36 = 41,185.80/x
  3. Step 3: Cross multiply
    71,405.92x = 98,552.36 × 41,185.80
  4. Step 4: Simplify right side
    71,405.92x = 4,058,957,788.49
  5. Step 5: Solve for x
    x = 4,058,957,788.49/71,405.92
  6. Step 6: Final answer
    x = 56,843.44

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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.