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Finding the Fourth Proportional to 71,986, 107,995.86 and 24,601.48

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Solution

The fourth proportional to 71,986, 107,995.86 and 24,601.48 is: 36,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986 : 107,995.86 = 24,601.48 : x
  2. Step 2: Convert to fraction form
    71,986/107,995.86 = 24,601.48/x
  3. Step 3: Cross multiply
    71,986x = 107,995.86 × 24,601.48
  4. Step 4: Simplify right side
    71,986x = 2,656,857,989.87
  5. Step 5: Solve for x
    x = 2,656,857,989.87/71,986
  6. Step 6: Final answer
    x = 36,907.98

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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.