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Finding the Fourth Proportional to 81,313.14, 121,903.97 and 33,964.50

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Solution

The fourth proportional to 81,313.14, 121,903.97 and 33,964.50 is: 50,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,313.14 : 121,903.97 = 33,964.50 : x
  2. Step 2: Convert to fraction form
    81,313.14/121,903.97 = 33,964.50/x
  3. Step 3: Cross multiply
    81,313.14x = 121,903.97 × 33,964.50
  4. Step 4: Simplify right side
    81,313.14x = 4,140,407,676.38
  5. Step 5: Solve for x
    x = 4,140,407,676.38/81,313.14
  6. Step 6: Final answer
    x = 50,919.30

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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.