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Finding the Fourth Proportional to 81,015, 121,576.50 and 31,136.28

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Solution

The fourth proportional to 81,015, 121,576.50 and 31,136.28 is: 46,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,015 : 121,576.50 = 31,136.28 : x
  2. Step 2: Convert to fraction form
    81,015/121,576.50 = 31,136.28/x
  3. Step 3: Cross multiply
    81,015x = 121,576.50 × 31,136.28
  4. Step 4: Simplify right side
    81,015x = 3,785,439,945.42
  5. Step 5: Solve for x
    x = 3,785,439,945.42/81,015
  6. Step 6: Final answer
    x = 46,725.17

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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.