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Finding the Fourth Proportional to 82,016, 123,011.52 and 22,845.44

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Solution

The fourth proportional to 82,016, 123,011.52 and 22,845.44 is: 34,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016 : 123,011.52 = 22,845.44 : x
  2. Step 2: Convert to fraction form
    82,016/123,011.52 = 22,845.44/x
  3. Step 3: Cross multiply
    82,016x = 123,011.52 × 22,845.44
  4. Step 4: Simplify right side
    82,016x = 2,810,252,299.47
  5. Step 5: Solve for x
    x = 2,810,252,299.47/82,016
  6. Step 6: Final answer
    x = 34,264.68

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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.