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Finding the Fourth Proportional to 27,910.42, 38,495.16 and 19,310.92

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Solution

The fourth proportional to 27,910.42, 38,495.16 and 19,310.92 is: 26,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.42 : 38,495.16 = 19,310.92 : x
  2. Step 2: Convert to fraction form
    27,910.42/38,495.16 = 19,310.92/x
  3. Step 3: Cross multiply
    27,910.42x = 38,495.16 × 19,310.92
  4. Step 4: Simplify right side
    27,910.42x = 743,376,955.15
  5. Step 5: Solve for x
    x = 743,376,955.15/27,910.42
  6. Step 6: Final answer
    x = 26,634.39

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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.