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Finding the Fourth Proportional to 71,717.67, 98,968.64 and 41,498.80

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Solution

The fourth proportional to 71,717.67, 98,968.64 and 41,498.80 is: 57,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717.67 : 98,968.64 = 41,498.80 : x
  2. Step 2: Convert to fraction form
    71,717.67/98,968.64 = 41,498.80/x
  3. Step 3: Cross multiply
    71,717.67x = 98,968.64 × 41,498.80
  4. Step 4: Simplify right side
    71,717.67x = 4,107,079,342.72
  5. Step 5: Solve for x
    x = 4,107,079,342.72/71,717.67
  6. Step 6: Final answer
    x = 57,267.33

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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.