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Finding the Fourth Proportional to 100,689, 150,939.12 and 34,082.52

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Solution

The fourth proportional to 100,689, 150,939.12 and 34,082.52 is: 51,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689 : 150,939.12 = 34,082.52 : x
  2. Step 2: Convert to fraction form
    100,689/150,939.12 = 34,082.52/x
  3. Step 3: Cross multiply
    100,689x = 150,939.12 × 34,082.52
  4. Step 4: Simplify right side
    100,689x = 5,144,385,576.18
  5. Step 5: Solve for x
    x = 5,144,385,576.18/100,689
  6. Step 6: Final answer
    x = 51,091.83

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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.