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Finding the Fourth Proportional to 71,561.25, 107,341.92 and 22,313.25

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Solution

The fourth proportional to 71,561.25, 107,341.92 and 22,313.25 is: 33,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,561.25 : 107,341.92 = 22,313.25 : x
  2. Step 2: Convert to fraction form
    71,561.25/107,341.92 = 22,313.25/x
  3. Step 3: Cross multiply
    71,561.25x = 107,341.92 × 22,313.25
  4. Step 4: Simplify right side
    71,561.25x = 2,395,147,096.44
  5. Step 5: Solve for x
    x = 2,395,147,096.44/71,561.25
  6. Step 6: Final answer
    x = 33,469.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.