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Finding the Fourth Proportional to 82,082.84, 123,074.94 and 32,103.32

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Solution

The fourth proportional to 82,082.84, 123,074.94 and 32,103.32 is: 48,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082.84 : 123,074.94 = 32,103.32 : x
  2. Step 2: Convert to fraction form
    82,082.84/123,074.94 = 32,103.32/x
  3. Step 3: Cross multiply
    82,082.84x = 123,074.94 × 32,103.32
  4. Step 4: Simplify right side
    82,082.84x = 3,951,114,182.80
  5. Step 5: Solve for x
    x = 3,951,114,182.80/82,082.84
  6. Step 6: Final answer
    x = 48,135.69

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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.