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Finding the Fourth Proportional to 50,469, 75,715.44 and 15,406.44

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Solution

The fourth proportional to 50,469, 75,715.44 and 15,406.44 is: 23,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,469 : 75,715.44 = 15,406.44 : x
  2. Step 2: Convert to fraction form
    50,469/75,715.44 = 15,406.44/x
  3. Step 3: Cross multiply
    50,469x = 75,715.44 × 15,406.44
  4. Step 4: Simplify right side
    50,469x = 1,166,505,383.43
  5. Step 5: Solve for x
    x = 1,166,505,383.43/50,469
  6. Step 6: Final answer
    x = 23,113.30

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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.