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Finding the Fourth Proportional to 82,843.66, 114,327.49 and 47,037

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Solution

The fourth proportional to 82,843.66, 114,327.49 and 47,037 is: 64,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.66 : 114,327.49 = 47,037 : x
  2. Step 2: Convert to fraction form
    82,843.66/114,327.49 = 47,037/x
  3. Step 3: Cross multiply
    82,843.66x = 114,327.49 × 47,037
  4. Step 4: Simplify right side
    82,843.66x = 5,377,622,147.13
  5. Step 5: Solve for x
    x = 5,377,622,147.13/82,843.66
  6. Step 6: Final answer
    x = 64,912.90

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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.