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Finding the Fourth Proportional to 54,296.67, 74,928.47 and 30,423.27

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Solution

The fourth proportional to 54,296.67, 74,928.47 and 30,423.27 is: 41,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,296.67 : 74,928.47 = 30,423.27 : x
  2. Step 2: Convert to fraction form
    54,296.67/74,928.47 = 30,423.27/x
  3. Step 3: Cross multiply
    54,296.67x = 74,928.47 × 30,423.27
  4. Step 4: Simplify right side
    54,296.67x = 2,279,568,921.38
  5. Step 5: Solve for x
    x = 2,279,568,921.38/54,296.67
  6. Step 6: Final answer
    x = 41,983.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.