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Finding the Fourth Proportional to 85,814.44, 128,581.08 and 82,534

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Solution

The fourth proportional to 85,814.44, 128,581.08 and 82,534 is: 123,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814.44 : 128,581.08 = 82,534 : x
  2. Step 2: Convert to fraction form
    85,814.44/128,581.08 = 82,534/x
  3. Step 3: Cross multiply
    85,814.44x = 128,581.08 × 82,534
  4. Step 4: Simplify right side
    85,814.44x = 10,612,310,856.72
  5. Step 5: Solve for x
    x = 10,612,310,856.72/85,814.44
  6. Step 6: Final answer
    x = 123,665.79

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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.