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Finding the Fourth Proportional to 27,819.42, 41,729.16 and 7,042.92

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Solution

The fourth proportional to 27,819.42, 41,729.16 and 7,042.92 is: 10,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.42 : 41,729.16 = 7,042.92 : x
  2. Step 2: Convert to fraction form
    27,819.42/41,729.16 = 7,042.92/x
  3. Step 3: Cross multiply
    27,819.42x = 41,729.16 × 7,042.92
  4. Step 4: Simplify right side
    27,819.42x = 293,895,135.55
  5. Step 5: Solve for x
    x = 293,895,135.55/27,819.42
  6. Step 6: Final answer
    x = 10,564.39

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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.