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Finding the Fourth Proportional to 82,162.98, 113,375.16 and 46,350.90

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Solution

The fourth proportional to 82,162.98, 113,375.16 and 46,350.90 is: 63,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.98 : 113,375.16 = 46,350.90 : x
  2. Step 2: Convert to fraction form
    82,162.98/113,375.16 = 46,350.90/x
  3. Step 3: Cross multiply
    82,162.98x = 113,375.16 × 46,350.90
  4. Step 4: Simplify right side
    82,162.98x = 5,255,040,703.64
  5. Step 5: Solve for x
    x = 5,255,040,703.64/82,162.98
  6. Step 6: Final answer
    x = 63,958.74

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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.