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Finding the Fourth Proportional to 27,767.64, 41,650.20 and 8,045.76

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Solution

The fourth proportional to 27,767.64, 41,650.20 and 8,045.76 is: 12,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.64 : 41,650.20 = 8,045.76 : x
  2. Step 2: Convert to fraction form
    27,767.64/41,650.20 = 8,045.76/x
  3. Step 3: Cross multiply
    27,767.64x = 41,650.20 × 8,045.76
  4. Step 4: Simplify right side
    27,767.64x = 335,107,513.15
  5. Step 5: Solve for x
    x = 335,107,513.15/27,767.64
  6. Step 6: Final answer
    x = 12,068.27

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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.