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Finding the Fourth Proportional to 54,358.56, 75,010.48 and 30,482

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Solution

The fourth proportional to 54,358.56, 75,010.48 and 30,482 is: 42,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.56 : 75,010.48 = 30,482 : x
  2. Step 2: Convert to fraction form
    54,358.56/75,010.48 = 30,482/x
  3. Step 3: Cross multiply
    54,358.56x = 75,010.48 × 30,482
  4. Step 4: Simplify right side
    54,358.56x = 2,286,469,451.36
  5. Step 5: Solve for x
    x = 2,286,469,451.36/54,358.56
  6. Step 6: Final answer
    x = 42,062.73

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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.