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Finding the Fourth Proportional to 27,797.31, 41,685.84 and 8,070.57

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Solution

The fourth proportional to 27,797.31, 41,685.84 and 8,070.57 is: 12,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.31 : 41,685.84 = 8,070.57 : x
  2. Step 2: Convert to fraction form
    27,797.31/41,685.84 = 8,070.57/x
  3. Step 3: Cross multiply
    27,797.31x = 41,685.84 × 8,070.57
  4. Step 4: Simplify right side
    27,797.31x = 336,428,489.73
  5. Step 5: Solve for x
    x = 336,428,489.73/27,797.31
  6. Step 6: Final answer
    x = 12,102.92

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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.