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Finding the Fourth Proportional to 27,898.90, 41,844.30 and 8,175.40

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Solution

The fourth proportional to 27,898.90, 41,844.30 and 8,175.40 is: 12,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.90 : 41,844.30 = 8,175.40 : x
  2. Step 2: Convert to fraction form
    27,898.90/41,844.30 = 8,175.40/x
  3. Step 3: Cross multiply
    27,898.90x = 41,844.30 × 8,175.40
  4. Step 4: Simplify right side
    27,898.90x = 342,093,890.22
  5. Step 5: Solve for x
    x = 342,093,890.22/27,898.90
  6. Step 6: Final answer
    x = 12,261.91

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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.