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Finding the Fourth Proportional to 50,606, 75,909 and 13,670

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Solution

The fourth proportional to 50,606, 75,909 and 13,670 is: 20,505

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,606 : 75,909 = 13,670 : x
  2. Step 2: Convert to fraction form
    50,606/75,909 = 13,670/x
  3. Step 3: Cross multiply
    50,606x = 75,909 × 13,670
  4. Step 4: Simplify right side
    50,606x = 1,037,676,030
  5. Step 5: Solve for x
    x = 1,037,676,030/50,606
  6. Step 6: Final answer
    x = 20,505

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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.