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Finding the Fourth Proportional to 27,730.44, 41,570.82 and 10,188

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Solution

The fourth proportional to 27,730.44, 41,570.82 and 10,188 is: 15,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.44 : 41,570.82 = 10,188 : x
  2. Step 2: Convert to fraction form
    27,730.44/41,570.82 = 10,188/x
  3. Step 3: Cross multiply
    27,730.44x = 41,570.82 × 10,188
  4. Step 4: Simplify right side
    27,730.44x = 423,523,514.16
  5. Step 5: Solve for x
    x = 423,523,514.16/27,730.44
  6. Step 6: Final answer
    x = 15,272.87

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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.