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Finding the Fourth Proportional to 82,952.03, 123,822.46 and 71,181.44

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Solution

The fourth proportional to 82,952.03, 123,822.46 and 71,181.44 is: 106,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.03 : 123,822.46 = 71,181.44 : x
  2. Step 2: Convert to fraction form
    82,952.03/123,822.46 = 71,181.44/x
  3. Step 3: Cross multiply
    82,952.03x = 123,822.46 × 71,181.44
  4. Step 4: Simplify right side
    82,952.03x = 8,813,861,637.84
  5. Step 5: Solve for x
    x = 8,813,861,637.84/82,952.03
  6. Step 6: Final answer
    x = 106,252.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.