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Finding the Fourth Proportional to 82,517.98, 113,865.36 and 46,214.38

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Solution

The fourth proportional to 82,517.98, 113,865.36 and 46,214.38 is: 63,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,517.98 : 113,865.36 = 46,214.38 : x
  2. Step 2: Convert to fraction form
    82,517.98/113,865.36 = 46,214.38/x
  3. Step 3: Cross multiply
    82,517.98x = 113,865.36 × 46,214.38
  4. Step 4: Simplify right side
    82,517.98x = 5,262,217,015.88
  5. Step 5: Solve for x
    x = 5,262,217,015.88/82,517.98
  6. Step 6: Final answer
    x = 63,770.55

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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.