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Finding the Fourth Proportional to 41,189.88, 61,789.68 and 30,867.24

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Solution

The fourth proportional to 41,189.88, 61,789.68 and 30,867.24 is: 46,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189.88 : 61,789.68 = 30,867.24 : x
  2. Step 2: Convert to fraction form
    41,189.88/61,789.68 = 30,867.24/x
  3. Step 3: Cross multiply
    41,189.88x = 61,789.68 × 30,867.24
  4. Step 4: Simplify right side
    41,189.88x = 1,907,276,882.08
  5. Step 5: Solve for x
    x = 1,907,276,882.08/41,189.88
  6. Step 6: Final answer
    x = 46,304.50

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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.