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Finding the Fourth Proportional to 85,286.36, 127,959.03 and 29,166

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Solution

The fourth proportional to 85,286.36, 127,959.03 and 29,166 is: 43,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.36 : 127,959.03 = 29,166 : x
  2. Step 2: Convert to fraction form
    85,286.36/127,959.03 = 29,166/x
  3. Step 3: Cross multiply
    85,286.36x = 127,959.03 × 29,166
  4. Step 4: Simplify right side
    85,286.36x = 3,732,053,068.98
  5. Step 5: Solve for x
    x = 3,732,053,068.98/85,286.36
  6. Step 6: Final answer
    x = 43,759.09

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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.