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Finding the Fourth Proportional to 54,662.26, 75,434.34 and 30,786.70

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Solution

The fourth proportional to 54,662.26, 75,434.34 and 30,786.70 is: 42,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,662.26 : 75,434.34 = 30,786.70 : x
  2. Step 2: Convert to fraction form
    54,662.26/75,434.34 = 30,786.70/x
  3. Step 3: Cross multiply
    54,662.26x = 75,434.34 × 30,786.70
  4. Step 4: Simplify right side
    54,662.26x = 2,322,374,395.28
  5. Step 5: Solve for x
    x = 2,322,374,395.28/54,662.26
  6. Step 6: Final answer
    x = 42,485.88

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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.