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Finding the Fourth Proportional to 54,694.50, 75,478.44 and 29,544

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Solution

The fourth proportional to 54,694.50, 75,478.44 and 29,544 is: 40,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.50 : 75,478.44 = 29,544 : x
  2. Step 2: Convert to fraction form
    54,694.50/75,478.44 = 29,544/x
  3. Step 3: Cross multiply
    54,694.50x = 75,478.44 × 29,544
  4. Step 4: Simplify right side
    54,694.50x = 2,229,935,031.36
  5. Step 5: Solve for x
    x = 2,229,935,031.36/54,694.50
  6. Step 6: Final answer
    x = 40,770.74

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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.