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Finding the Fourth Proportional to 82,692.73, 124,080.11 and 32,771.73

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Solution

The fourth proportional to 82,692.73, 124,080.11 and 32,771.73 is: 49,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.73 : 124,080.11 = 32,771.73 : x
  2. Step 2: Convert to fraction form
    82,692.73/124,080.11 = 32,771.73/x
  3. Step 3: Cross multiply
    82,692.73x = 124,080.11 × 32,771.73
  4. Step 4: Simplify right side
    82,692.73x = 4,066,319,863.29
  5. Step 5: Solve for x
    x = 4,066,319,863.29/82,692.73
  6. Step 6: Final answer
    x = 49,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.