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Finding the Fourth Proportional to 82,511.56, 113,891.82 and 52,703.56

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Solution

The fourth proportional to 82,511.56, 113,891.82 and 52,703.56 is: 72,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.56 : 113,891.82 = 52,703.56 : x
  2. Step 2: Convert to fraction form
    82,511.56/113,891.82 = 52,703.56/x
  3. Step 3: Cross multiply
    82,511.56x = 113,891.82 × 52,703.56
  4. Step 4: Simplify right side
    82,511.56x = 6,002,504,368.88
  5. Step 5: Solve for x
    x = 6,002,504,368.88/82,511.56
  6. Step 6: Final answer
    x = 72,747.44

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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.