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Finding the Fourth Proportional to 50,704.80, 75,983.24 and 28,524.40

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Solution

The fourth proportional to 50,704.80, 75,983.24 and 28,524.40 is: 42,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.80 : 75,983.24 = 28,524.40 : x
  2. Step 2: Convert to fraction form
    50,704.80/75,983.24 = 28,524.40/x
  3. Step 3: Cross multiply
    50,704.80x = 75,983.24 × 28,524.40
  4. Step 4: Simplify right side
    50,704.80x = 2,167,376,331.06
  5. Step 5: Solve for x
    x = 2,167,376,331.06/50,704.80
  6. Step 6: Final answer
    x = 42,744.99

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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.