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Finding the Fourth Proportional to 51,912.30, 77,868.49 and 14,472.48

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Solution

The fourth proportional to 51,912.30, 77,868.49 and 14,472.48 is: 21,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912.30 : 77,868.49 = 14,472.48 : x
  2. Step 2: Convert to fraction form
    51,912.30/77,868.49 = 14,472.48/x
  3. Step 3: Cross multiply
    51,912.30x = 77,868.49 × 14,472.48
  4. Step 4: Simplify right side
    51,912.30x = 1,126,950,164.16
  5. Step 5: Solve for x
    x = 1,126,950,164.16/51,912.30
  6. Step 6: Final answer
    x = 21,708.73

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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.