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Finding the Fourth Proportional to 76,512.16, 114,791.28 and 27,268

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Solution

The fourth proportional to 76,512.16, 114,791.28 and 27,268 is: 40,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.16 : 114,791.28 = 27,268 : x
  2. Step 2: Convert to fraction form
    76,512.16/114,791.28 = 27,268/x
  3. Step 3: Cross multiply
    76,512.16x = 114,791.28 × 27,268
  4. Step 4: Simplify right side
    76,512.16x = 3,130,128,623.04
  5. Step 5: Solve for x
    x = 3,130,128,623.04/76,512.16
  6. Step 6: Final answer
    x = 40,910.21

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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.