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Finding the Fourth Proportional to 27,961.04, 41,948.82 and 10,431

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Solution

The fourth proportional to 27,961.04, 41,948.82 and 10,431 is: 15,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.04 : 41,948.82 = 10,431 : x
  2. Step 2: Convert to fraction form
    27,961.04/41,948.82 = 10,431/x
  3. Step 3: Cross multiply
    27,961.04x = 41,948.82 × 10,431
  4. Step 4: Simplify right side
    27,961.04x = 437,568,141.42
  5. Step 5: Solve for x
    x = 437,568,141.42/27,961.04
  6. Step 6: Final answer
    x = 15,649.21

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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.