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Finding the Fourth Proportional to 82,692.32, 123,965.62 and 32,807.44

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Solution

The fourth proportional to 82,692.32, 123,965.62 and 32,807.44 is: 49,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.32 : 123,965.62 = 32,807.44 : x
  2. Step 2: Convert to fraction form
    82,692.32/123,965.62 = 32,807.44/x
  3. Step 3: Cross multiply
    82,692.32x = 123,965.62 × 32,807.44
  4. Step 4: Simplify right side
    82,692.32x = 4,066,994,640.21
  5. Step 5: Solve for x
    x = 4,066,994,640.21/82,692.32
  6. Step 6: Final answer
    x = 49,182.25

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