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Finding the Fourth Proportional to 47,414.50, 71,121.75 and 14,157.92

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Solution

The fourth proportional to 47,414.50, 71,121.75 and 14,157.92 is: 21,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414.50 : 71,121.75 = 14,157.92 : x
  2. Step 2: Convert to fraction form
    47,414.50/71,121.75 = 14,157.92/x
  3. Step 3: Cross multiply
    47,414.50x = 71,121.75 × 14,157.92
  4. Step 4: Simplify right side
    47,414.50x = 1,006,936,111.04
  5. Step 5: Solve for x
    x = 1,006,936,111.04/47,414.50
  6. Step 6: Final answer
    x = 21,236.88

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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.