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Finding the Fourth Proportional to 73,805.46, 110,642.37 and 27,047.34

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Solution

The fourth proportional to 73,805.46, 110,642.37 and 27,047.34 is: 40,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,805.46 : 110,642.37 = 27,047.34 : x
  2. Step 2: Convert to fraction form
    73,805.46/110,642.37 = 27,047.34/x
  3. Step 3: Cross multiply
    73,805.46x = 110,642.37 × 27,047.34
  4. Step 4: Simplify right side
    73,805.46x = 2,992,581,799.80
  5. Step 5: Solve for x
    x = 2,992,581,799.80/73,805.46
  6. Step 6: Final answer
    x = 40,546.89

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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.