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Finding the Fourth Proportional to 50,855.56, 76,284.07 and 15,793

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Solution

The fourth proportional to 50,855.56, 76,284.07 and 15,793 is: 23,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,855.56 : 76,284.07 = 15,793 : x
  2. Step 2: Convert to fraction form
    50,855.56/76,284.07 = 15,793/x
  3. Step 3: Cross multiply
    50,855.56x = 76,284.07 × 15,793
  4. Step 4: Simplify right side
    50,855.56x = 1,204,754,317.51
  5. Step 5: Solve for x
    x = 1,204,754,317.51/50,855.56
  6. Step 6: Final answer
    x = 23,689.73

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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.