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Finding the Fourth Proportional to 75,626.44, 113,439.66 and 20,221

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Solution

The fourth proportional to 75,626.44, 113,439.66 and 20,221 is: 30,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,626.44 : 113,439.66 = 20,221 : x
  2. Step 2: Convert to fraction form
    75,626.44/113,439.66 = 20,221/x
  3. Step 3: Cross multiply
    75,626.44x = 113,439.66 × 20,221
  4. Step 4: Simplify right side
    75,626.44x = 2,293,863,364.86
  5. Step 5: Solve for x
    x = 2,293,863,364.86/75,626.44
  6. Step 6: Final answer
    x = 30,331.50

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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.