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Finding the Fourth Proportional to 82,418.54, 113,736.50 and 44,692.58

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Solution

The fourth proportional to 82,418.54, 113,736.50 and 44,692.58 is: 61,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,418.54 : 113,736.50 = 44,692.58 : x
  2. Step 2: Convert to fraction form
    82,418.54/113,736.50 = 44,692.58/x
  3. Step 3: Cross multiply
    82,418.54x = 113,736.50 × 44,692.58
  4. Step 4: Simplify right side
    82,418.54x = 5,083,177,625.17
  5. Step 5: Solve for x
    x = 5,083,177,625.17/82,418.54
  6. Step 6: Final answer
    x = 61,675.17

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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.