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Finding the Fourth Proportional to 54,077.92, 74,622.46 and 34,958.12

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Solution

The fourth proportional to 54,077.92, 74,622.46 and 34,958.12 is: 48,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,077.92 : 74,622.46 = 34,958.12 : x
  2. Step 2: Convert to fraction form
    54,077.92/74,622.46 = 34,958.12/x
  3. Step 3: Cross multiply
    54,077.92x = 74,622.46 × 34,958.12
  4. Step 4: Simplify right side
    54,077.92x = 2,608,660,911.38
  5. Step 5: Solve for x
    x = 2,608,660,911.38/54,077.92
  6. Step 6: Final answer
    x = 48,238.93

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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.