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Finding the Fourth Proportional to 76,275, 114,303.48 and 33,529.20

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Solution

The fourth proportional to 76,275, 114,303.48 and 33,529.20 is: 50,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,275 : 114,303.48 = 33,529.20 : x
  2. Step 2: Convert to fraction form
    76,275/114,303.48 = 33,529.20/x
  3. Step 3: Cross multiply
    76,275x = 114,303.48 × 33,529.20
  4. Step 4: Simplify right side
    76,275x = 3,832,504,241.62
  5. Step 5: Solve for x
    x = 3,832,504,241.62/76,275
  6. Step 6: Final answer
    x = 50,245.88

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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.