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Finding the Fourth Proportional to 29,863.38, 41,213.43 and 19,774.29

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Solution

The fourth proportional to 29,863.38, 41,213.43 and 19,774.29 is: 27,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,863.38 : 41,213.43 = 19,774.29 : x
  2. Step 2: Convert to fraction form
    29,863.38/41,213.43 = 19,774.29/x
  3. Step 3: Cross multiply
    29,863.38x = 41,213.43 × 19,774.29
  4. Step 4: Simplify right side
    29,863.38x = 814,966,316.71
  5. Step 5: Solve for x
    x = 814,966,316.71/29,863.38
  6. Step 6: Final answer
    x = 27,289.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.