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Finding the Fourth Proportional to 75,928.50, 113,892.84 and 20,524.50

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Solution

The fourth proportional to 75,928.50, 113,892.84 and 20,524.50 is: 30,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,928.50 : 113,892.84 = 20,524.50 : x
  2. Step 2: Convert to fraction form
    75,928.50/113,892.84 = 20,524.50/x
  3. Step 3: Cross multiply
    75,928.50x = 113,892.84 × 20,524.50
  4. Step 4: Simplify right side
    75,928.50x = 2,337,593,594.58
  5. Step 5: Solve for x
    x = 2,337,593,594.58/75,928.50
  6. Step 6: Final answer
    x = 30,786.77

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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.