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Finding the Fourth Proportional to 27,749.16, 41,622.12 and 8,027.28

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Solution

The fourth proportional to 27,749.16, 41,622.12 and 8,027.28 is: 12,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749.16 : 41,622.12 = 8,027.28 : x
  2. Step 2: Convert to fraction form
    27,749.16/41,622.12 = 8,027.28/x
  3. Step 3: Cross multiply
    27,749.16x = 41,622.12 × 8,027.28
  4. Step 4: Simplify right side
    27,749.16x = 334,112,411.43
  5. Step 5: Solve for x
    x = 334,112,411.43/27,749.16
  6. Step 6: Final answer
    x = 12,040.45

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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.