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Finding the Fourth Proportional to 27,859.32, 41,788.44 and 6,799.50

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Solution

The fourth proportional to 27,859.32, 41,788.44 and 6,799.50 is: 10,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.32 : 41,788.44 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    27,859.32/41,788.44 = 6,799.50/x
  3. Step 3: Cross multiply
    27,859.32x = 41,788.44 × 6,799.50
  4. Step 4: Simplify right side
    27,859.32x = 284,140,497.78
  5. Step 5: Solve for x
    x = 284,140,497.78/27,859.32
  6. Step 6: Final answer
    x = 10,199.12

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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.