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Finding the Fourth Proportional to 54,793.46, 75,619.17 and 30,920.54

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Solution

The fourth proportional to 54,793.46, 75,619.17 and 30,920.54 is: 42,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.46 : 75,619.17 = 30,920.54 : x
  2. Step 2: Convert to fraction form
    54,793.46/75,619.17 = 30,920.54/x
  3. Step 3: Cross multiply
    54,793.46x = 75,619.17 × 30,920.54
  4. Step 4: Simplify right side
    54,793.46x = 2,338,185,192.66
  5. Step 5: Solve for x
    x = 2,338,185,192.66/54,793.46
  6. Step 6: Final answer
    x = 42,672.70

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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.