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Finding the Fourth Proportional to 27,911.40, 41,915.70 and 19,649.40

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Solution

The fourth proportional to 27,911.40, 41,915.70 and 19,649.40 is: 29,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.40 : 41,915.70 = 19,649.40 : x
  2. Step 2: Convert to fraction form
    27,911.40/41,915.70 = 19,649.40/x
  3. Step 3: Cross multiply
    27,911.40x = 41,915.70 × 19,649.40
  4. Step 4: Simplify right side
    27,911.40x = 823,618,355.58
  5. Step 5: Solve for x
    x = 823,618,355.58/27,911.40
  6. Step 6: Final answer
    x = 29,508.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.