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Finding the Fourth Proportional to 51,178.50, 76,757.16 and 13,729.70

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Solution

The fourth proportional to 51,178.50, 76,757.16 and 13,729.70 is: 20,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,178.50 : 76,757.16 = 13,729.70 : x
  2. Step 2: Convert to fraction form
    51,178.50/76,757.16 = 13,729.70/x
  3. Step 3: Cross multiply
    51,178.50x = 76,757.16 × 13,729.70
  4. Step 4: Simplify right side
    51,178.50x = 1,053,852,395.87
  5. Step 5: Solve for x
    x = 1,053,852,395.87/51,178.50
  6. Step 6: Final answer
    x = 20,591.70

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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.