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Finding the Fourth Proportional to 54,714, 75,660.84 and 52,238.64

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Solution

The fourth proportional to 54,714, 75,660.84 and 52,238.64 is: 72,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714 : 75,660.84 = 52,238.64 : x
  2. Step 2: Convert to fraction form
    54,714/75,660.84 = 52,238.64/x
  3. Step 3: Cross multiply
    54,714x = 75,660.84 × 52,238.64
  4. Step 4: Simplify right side
    54,714x = 3,952,419,382.86
  5. Step 5: Solve for x
    x = 3,952,419,382.86/54,714
  6. Step 6: Final answer
    x = 72,237.81

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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.