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Finding the Fourth Proportional to 54,671.86, 75,446.82 and 30,806.22

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Solution

The fourth proportional to 54,671.86, 75,446.82 and 30,806.22 is: 42,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.86 : 75,446.82 = 30,806.22 : x
  2. Step 2: Convert to fraction form
    54,671.86/75,446.82 = 30,806.22/x
  3. Step 3: Cross multiply
    54,671.86x = 75,446.82 × 30,806.22
  4. Step 4: Simplify right side
    54,671.86x = 2,324,231,335.22
  5. Step 5: Solve for x
    x = 2,324,231,335.22/54,671.86
  6. Step 6: Final answer
    x = 42,512.39

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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.