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Finding the Fourth Proportional to 41,998.50, 62,998.02 and 10,834.02

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Solution

The fourth proportional to 41,998.50, 62,998.02 and 10,834.02 is: 16,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,998.50 : 62,998.02 = 10,834.02 : x
  2. Step 2: Convert to fraction form
    41,998.50/62,998.02 = 10,834.02/x
  3. Step 3: Cross multiply
    41,998.50x = 62,998.02 × 10,834.02
  4. Step 4: Simplify right side
    41,998.50x = 682,521,808.64
  5. Step 5: Solve for x
    x = 682,521,808.64/41,998.50
  6. Step 6: Final answer
    x = 16,251.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.