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Finding the Fourth Proportional to 54,304.64, 74,932.80 and 30,429.44

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Solution

The fourth proportional to 54,304.64, 74,932.80 and 30,429.44 is: 41,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,304.64 : 74,932.80 = 30,429.44 : x
  2. Step 2: Convert to fraction form
    54,304.64/74,932.80 = 30,429.44/x
  3. Step 3: Cross multiply
    54,304.64x = 74,932.80 × 30,429.44
  4. Step 4: Simplify right side
    54,304.64x = 2,280,163,141.63
  5. Step 5: Solve for x
    x = 2,280,163,141.63/54,304.64
  6. Step 6: Final answer
    x = 41,988.37

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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.