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Finding the Fourth Proportional to 82,189.28, 113,424.62 and 46,379.31

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Solution

The fourth proportional to 82,189.28, 113,424.62 and 46,379.31 is: 64,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189.28 : 113,424.62 = 46,379.31 : x
  2. Step 2: Convert to fraction form
    82,189.28/113,424.62 = 46,379.31/x
  3. Step 3: Cross multiply
    82,189.28x = 113,424.62 × 46,379.31
  4. Step 4: Simplify right side
    82,189.28x = 5,260,555,380.72
  5. Step 5: Solve for x
    x = 5,260,555,380.72/82,189.28
  6. Step 6: Final answer
    x = 64,005.38

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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.