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Finding the Fourth Proportional to 54,141.72, 74,717.22 and 30,269.40

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Solution

The fourth proportional to 54,141.72, 74,717.22 and 30,269.40 is: 41,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,141.72 : 74,717.22 = 30,269.40 : x
  2. Step 2: Convert to fraction form
    54,141.72/74,717.22 = 30,269.40/x
  3. Step 3: Cross multiply
    54,141.72x = 74,717.22 × 30,269.40
  4. Step 4: Simplify right side
    54,141.72x = 2,261,645,419.07
  5. Step 5: Solve for x
    x = 2,261,645,419.07/54,141.72
  6. Step 6: Final answer
    x = 41,772.69

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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.