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Finding the Fourth Proportional to 82,441.64, 113,786.46 and 46,633.16

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Solution

The fourth proportional to 82,441.64, 113,786.46 and 46,633.16 is: 64,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,441.64 : 113,786.46 = 46,633.16 : x
  2. Step 2: Convert to fraction form
    82,441.64/113,786.46 = 46,633.16/x
  3. Step 3: Cross multiply
    82,441.64x = 113,786.46 × 46,633.16
  4. Step 4: Simplify right side
    82,441.64x = 5,306,222,195.01
  5. Step 5: Solve for x
    x = 5,306,222,195.01/82,441.64
  6. Step 6: Final answer
    x = 64,363.38

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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.