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Finding the Fourth Proportional to 50,574, 75,861 and 13,638

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Solution

The fourth proportional to 50,574, 75,861 and 13,638 is: 20,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574 : 75,861 = 13,638 : x
  2. Step 2: Convert to fraction form
    50,574/75,861 = 13,638/x
  3. Step 3: Cross multiply
    50,574x = 75,861 × 13,638
  4. Step 4: Simplify right side
    50,574x = 1,034,592,318
  5. Step 5: Solve for x
    x = 1,034,592,318/50,574
  6. Step 6: Final answer
    x = 20,457

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.