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Finding the Fourth Proportional to 54,138.92, 74,708.64 and 29,938.46

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Solution

The fourth proportional to 54,138.92, 74,708.64 and 29,938.46 is: 41,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.92 : 74,708.64 = 29,938.46 : x
  2. Step 2: Convert to fraction form
    54,138.92/74,708.64 = 29,938.46/x
  3. Step 3: Cross multiply
    54,138.92x = 74,708.64 × 29,938.46
  4. Step 4: Simplify right side
    54,138.92x = 2,236,661,630.29
  5. Step 5: Solve for x
    x = 2,236,661,630.29/54,138.92
  6. Step 6: Final answer
    x = 41,313.38

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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.