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Finding the Fourth Proportional to 27,767.75, 41,655.26 and 8,045.87

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Solution

The fourth proportional to 27,767.75, 41,655.26 and 8,045.87 is: 12,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.75 : 41,655.26 = 8,045.87 : x
  2. Step 2: Convert to fraction form
    27,767.75/41,655.26 = 8,045.87/x
  3. Step 3: Cross multiply
    27,767.75x = 41,655.26 × 8,045.87
  4. Step 4: Simplify right side
    27,767.75x = 335,152,618.61
  5. Step 5: Solve for x
    x = 335,152,618.61/27,767.75
  6. Step 6: Final answer
    x = 12,069.85

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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.