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Finding the Fourth Proportional to 47,874.68, 71,821.48 and 14,141.27

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Solution

The fourth proportional to 47,874.68, 71,821.48 and 14,141.27 is: 21,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.68 : 71,821.48 = 14,141.27 : x
  2. Step 2: Convert to fraction form
    47,874.68/71,821.48 = 14,141.27/x
  3. Step 3: Cross multiply
    47,874.68x = 71,821.48 × 14,141.27
  4. Step 4: Simplify right side
    47,874.68x = 1,015,647,084.68
  5. Step 5: Solve for x
    x = 1,015,647,084.68/47,874.68
  6. Step 6: Final answer
    x = 21,214.70

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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.