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Finding the Fourth Proportional to 51,770.63, 77,674.17 and 25,493.82

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Solution

The fourth proportional to 51,770.63, 77,674.17 and 25,493.82 is: 38,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770.63 : 77,674.17 = 25,493.82 : x
  2. Step 2: Convert to fraction form
    51,770.63/77,674.17 = 25,493.82/x
  3. Step 3: Cross multiply
    51,770.63x = 77,674.17 × 25,493.82
  4. Step 4: Simplify right side
    51,770.63x = 1,980,211,308.63
  5. Step 5: Solve for x
    x = 1,980,211,308.63/51,770.63
  6. Step 6: Final answer
    x = 38,249.71

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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.