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Finding the Fourth Proportional to 54,322, 74,964.32 and 33,101.36

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Solution

The fourth proportional to 54,322, 74,964.32 and 33,101.36 is: 45,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322 : 74,964.32 = 33,101.36 : x
  2. Step 2: Convert to fraction form
    54,322/74,964.32 = 33,101.36/x
  3. Step 3: Cross multiply
    54,322x = 74,964.32 × 33,101.36
  4. Step 4: Simplify right side
    54,322x = 2,481,420,943.48
  5. Step 5: Solve for x
    x = 2,481,420,943.48/54,322
  6. Step 6: Final answer
    x = 45,679.85

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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.