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Finding the Fourth Proportional to 50,463, 75,694.23 and 15,402.15

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Solution

The fourth proportional to 50,463, 75,694.23 and 15,402.15 is: 23,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 75,694.23 = 15,402.15 : x
  2. Step 2: Convert to fraction form
    50,463/75,694.23 = 15,402.15/x
  3. Step 3: Cross multiply
    50,463x = 75,694.23 × 15,402.15
  4. Step 4: Simplify right side
    50,463x = 1,165,853,884.59
  5. Step 5: Solve for x
    x = 1,165,853,884.59/50,463
  6. Step 6: Final answer
    x = 23,103.14

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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.