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Finding the Fourth Proportional to 27,768.83, 41,659.72 and 8,047.76

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Solution

The fourth proportional to 27,768.83, 41,659.72 and 8,047.76 is: 12,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.83 : 41,659.72 = 8,047.76 : x
  2. Step 2: Convert to fraction form
    27,768.83/41,659.72 = 8,047.76/x
  3. Step 3: Cross multiply
    27,768.83x = 41,659.72 × 8,047.76
  4. Step 4: Simplify right side
    27,768.83x = 335,267,199.81
  5. Step 5: Solve for x
    x = 335,267,199.81/27,768.83
  6. Step 6: Final answer
    x = 12,073.51

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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.