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Finding the Fourth Proportional to 47,228, 65,168.96 and 27,083.84

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Solution

The fourth proportional to 47,228, 65,168.96 and 27,083.84 is: 37,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228 : 65,168.96 = 27,083.84 : x
  2. Step 2: Convert to fraction form
    47,228/65,168.96 = 27,083.84/x
  3. Step 3: Cross multiply
    47,228x = 65,168.96 × 27,083.84
  4. Step 4: Simplify right side
    47,228x = 1,765,025,685.61
  5. Step 5: Solve for x
    x = 1,765,025,685.61/47,228
  6. Step 6: Final answer
    x = 37,372.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.