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Finding the Fourth Proportional to 73,003.82, 109,523.95 and 20,412.88

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Solution

The fourth proportional to 73,003.82, 109,523.95 and 20,412.88 is: 30,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,003.82 : 109,523.95 = 20,412.88 : x
  2. Step 2: Convert to fraction form
    73,003.82/109,523.95 = 20,412.88/x
  3. Step 3: Cross multiply
    73,003.82x = 109,523.95 × 20,412.88
  4. Step 4: Simplify right side
    73,003.82x = 2,235,698,923.63
  5. Step 5: Solve for x
    x = 2,235,698,923.63/73,003.82
  6. Step 6: Final answer
    x = 30,624.41

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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.