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Finding the Fourth Proportional to 43,900.20, 65,834.10 and 21,706.20

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Solution

The fourth proportional to 43,900.20, 65,834.10 and 21,706.20 is: 32,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,900.20 : 65,834.10 = 21,706.20 : x
  2. Step 2: Convert to fraction form
    43,900.20/65,834.10 = 21,706.20/x
  3. Step 3: Cross multiply
    43,900.20x = 65,834.10 × 21,706.20
  4. Step 4: Simplify right side
    43,900.20x = 1,429,008,141.42
  5. Step 5: Solve for x
    x = 1,429,008,141.42/43,900.20
  6. Step 6: Final answer
    x = 32,551.29

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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.