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Finding the Fourth Proportional to 50,651.88, 75,974.94 and 13,713

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Solution

The fourth proportional to 50,651.88, 75,974.94 and 13,713 is: 20,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,651.88 : 75,974.94 = 13,713 : x
  2. Step 2: Convert to fraction form
    50,651.88/75,974.94 = 13,713/x
  3. Step 3: Cross multiply
    50,651.88x = 75,974.94 × 13,713
  4. Step 4: Simplify right side
    50,651.88x = 1,041,844,352.22
  5. Step 5: Solve for x
    x = 1,041,844,352.22/50,651.88
  6. Step 6: Final answer
    x = 20,568.72

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1.5x scale

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.