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Finding the Fourth Proportional to 71,796.34, 107,743.73 and 25,049.22

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Solution

The fourth proportional to 71,796.34, 107,743.73 and 25,049.22 is: 37,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796.34 : 107,743.73 = 25,049.22 : x
  2. Step 2: Convert to fraction form
    71,796.34/107,743.73 = 25,049.22/x
  3. Step 3: Cross multiply
    71,796.34x = 107,743.73 × 25,049.22
  4. Step 4: Simplify right side
    71,796.34x = 2,698,896,396.39
  5. Step 5: Solve for x
    x = 2,698,896,396.39/71,796.34
  6. Step 6: Final answer
    x = 37,591.00

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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.