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Finding the Fourth Proportional to 82,059.20, 123,082.40 and 32,129.60

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Solution

The fourth proportional to 82,059.20, 123,082.40 and 32,129.60 is: 48,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,059.20 : 123,082.40 = 32,129.60 : x
  2. Step 2: Convert to fraction form
    82,059.20/123,082.40 = 32,129.60/x
  3. Step 3: Cross multiply
    82,059.20x = 123,082.40 × 32,129.60
  4. Step 4: Simplify right side
    82,059.20x = 3,954,588,279.04
  5. Step 5: Solve for x
    x = 3,954,588,279.04/82,059.20
  6. Step 6: Final answer
    x = 48,191.89

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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.