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Finding the Fourth Proportional to 50,619, 75,932.28 and 19,454.52

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Solution

The fourth proportional to 50,619, 75,932.28 and 19,454.52 is: 29,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,619 : 75,932.28 = 19,454.52 : x
  2. Step 2: Convert to fraction form
    50,619/75,932.28 = 19,454.52/x
  3. Step 3: Cross multiply
    50,619x = 75,932.28 × 19,454.52
  4. Step 4: Simplify right side
    50,619x = 1,477,226,059.91
  5. Step 5: Solve for x
    x = 1,477,226,059.91/50,619
  6. Step 6: Final answer
    x = 29,183.23

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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.