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Finding the Fourth Proportional to 41,206.40, 61,838.40 and 17,849.60

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Solution

The fourth proportional to 41,206.40, 61,838.40 and 17,849.60 is: 26,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206.40 : 61,838.40 = 17,849.60 : x
  2. Step 2: Convert to fraction form
    41,206.40/61,838.40 = 17,849.60/x
  3. Step 3: Cross multiply
    41,206.40x = 61,838.40 × 17,849.60
  4. Step 4: Simplify right side
    41,206.40x = 1,103,790,704.64
  5. Step 5: Solve for x
    x = 1,103,790,704.64/41,206.40
  6. Step 6: Final answer
    x = 26,786.88

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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.