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Finding the Fourth Proportional to 85,223.28, 127,836 and 32,635.92

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Solution

The fourth proportional to 85,223.28, 127,836 and 32,635.92 is: 48,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,223.28 : 127,836 = 32,635.92 : x
  2. Step 2: Convert to fraction form
    85,223.28/127,836 = 32,635.92/x
  3. Step 3: Cross multiply
    85,223.28x = 127,836 × 32,635.92
  4. Step 4: Simplify right side
    85,223.28x = 4,172,045,469.12
  5. Step 5: Solve for x
    x = 4,172,045,469.12/85,223.28
  6. Step 6: Final answer
    x = 48,954.29

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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.