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Finding the Fourth Proportional to 75,704.84, 113,604.26 and 51,414.56

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Solution

The fourth proportional to 75,704.84, 113,604.26 and 51,414.56 is: 77,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.84 : 113,604.26 = 51,414.56 : x
  2. Step 2: Convert to fraction form
    75,704.84/113,604.26 = 51,414.56/x
  3. Step 3: Cross multiply
    75,704.84x = 113,604.26 × 51,414.56
  4. Step 4: Simplify right side
    75,704.84x = 5,840,913,042.03
  5. Step 5: Solve for x
    x = 5,840,913,042.03/75,704.84
  6. Step 6: Final answer
    x = 77,153.76

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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.