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Finding the Fourth Proportional to 27,950.40, 41,911.20 and 10,411.20

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Solution

The fourth proportional to 27,950.40, 41,911.20 and 10,411.20 is: 15,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.40 : 41,911.20 = 10,411.20 : x
  2. Step 2: Convert to fraction form
    27,950.40/41,911.20 = 10,411.20/x
  3. Step 3: Cross multiply
    27,950.40x = 41,911.20 × 10,411.20
  4. Step 4: Simplify right side
    27,950.40x = 436,345,885.44
  5. Step 5: Solve for x
    x = 436,345,885.44/27,950.40
  6. Step 6: Final answer
    x = 15,611.44

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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.