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Finding the Fourth Proportional to 50,288.85, 75,433.27 and 12,849

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Solution

The fourth proportional to 50,288.85, 75,433.27 and 12,849 is: 19,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,288.85 : 75,433.27 = 12,849 : x
  2. Step 2: Convert to fraction form
    50,288.85/75,433.27 = 12,849/x
  3. Step 3: Cross multiply
    50,288.85x = 75,433.27 × 12,849
  4. Step 4: Simplify right side
    50,288.85x = 969,242,086.23
  5. Step 5: Solve for x
    x = 969,242,086.23/50,288.85
  6. Step 6: Final answer
    x = 19,273.50

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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.