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Finding the Fourth Proportional to 50,382, 75,573 and 13,446

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Solution

The fourth proportional to 50,382, 75,573 and 13,446 is: 20,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382 : 75,573 = 13,446 : x
  2. Step 2: Convert to fraction form
    50,382/75,573 = 13,446/x
  3. Step 3: Cross multiply
    50,382x = 75,573 × 13,446
  4. Step 4: Simplify right side
    50,382x = 1,016,154,558
  5. Step 5: Solve for x
    x = 1,016,154,558/50,382
  6. Step 6: Final answer
    x = 20,169

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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.