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Finding the Fourth Proportional to 54,071.44, 74,614.38 and 30,195.88

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Solution

The fourth proportional to 54,071.44, 74,614.38 and 30,195.88 is: 41,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,071.44 : 74,614.38 = 30,195.88 : x
  2. Step 2: Convert to fraction form
    54,071.44/74,614.38 = 30,195.88/x
  3. Step 3: Cross multiply
    54,071.44x = 74,614.38 × 30,195.88
  4. Step 4: Simplify right side
    54,071.44x = 2,253,046,864.75
  5. Step 5: Solve for x
    x = 2,253,046,864.75/54,071.44
  6. Step 6: Final answer
    x = 41,667.96

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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.