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Finding the Fourth Proportional to 82,753.85, 113,982.77 and 63,596.97

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Solution

The fourth proportional to 82,753.85, 113,982.77 and 63,596.97 is: 87,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,753.85 : 113,982.77 = 63,596.97 : x
  2. Step 2: Convert to fraction form
    82,753.85/113,982.77 = 63,596.97/x
  3. Step 3: Cross multiply
    82,753.85x = 113,982.77 × 63,596.97
  4. Step 4: Simplify right side
    82,753.85x = 7,248,958,234.29
  5. Step 5: Solve for x
    x = 7,248,958,234.29/82,753.85
  6. Step 6: Final answer
    x = 87,596.63

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1.5x scale

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.