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Finding the Fourth Proportional to 68,082.31, 102,219.15 and 34,826.24

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Solution

The fourth proportional to 68,082.31, 102,219.15 and 34,826.24 is: 52,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082.31 : 102,219.15 = 34,826.24 : x
  2. Step 2: Convert to fraction form
    68,082.31/102,219.15 = 34,826.24/x
  3. Step 3: Cross multiply
    68,082.31x = 102,219.15 × 34,826.24
  4. Step 4: Simplify right side
    68,082.31x = 3,559,908,650.50
  5. Step 5: Solve for x
    x = 3,559,908,650.50/68,082.31
  6. Step 6: Final answer
    x = 52,288.31

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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.