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Finding the Fourth Proportional to 51,648, 71,274.24 and 28,096

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Solution

The fourth proportional to 51,648, 71,274.24 and 28,096 is: 38,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,648 : 71,274.24 = 28,096 : x
  2. Step 2: Convert to fraction form
    51,648/71,274.24 = 28,096/x
  3. Step 3: Cross multiply
    51,648x = 71,274.24 × 28,096
  4. Step 4: Simplify right side
    51,648x = 2,002,521,047.04
  5. Step 5: Solve for x
    x = 2,002,521,047.04/51,648
  6. Step 6: Final answer
    x = 38,772.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.