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Finding the Fourth Proportional to 71,495.94, 98,668.86 and 41,286.80

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Solution

The fourth proportional to 71,495.94, 98,668.86 and 41,286.80 is: 56,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,495.94 : 98,668.86 = 41,286.80 : x
  2. Step 2: Convert to fraction form
    71,495.94/98,668.86 = 41,286.80/x
  3. Step 3: Cross multiply
    71,495.94x = 98,668.86 × 41,286.80
  4. Step 4: Simplify right side
    71,495.94x = 4,073,721,489.05
  5. Step 5: Solve for x
    x = 4,073,721,489.05/71,495.94
  6. Step 6: Final answer
    x = 56,978.36

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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.