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Finding the Fourth Proportional to 54,738.50, 82,138.49 and 29,780.29

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Solution

The fourth proportional to 54,738.50, 82,138.49 and 29,780.29 is: 44,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738.50 : 82,138.49 = 29,780.29 : x
  2. Step 2: Convert to fraction form
    54,738.50/82,138.49 = 29,780.29/x
  3. Step 3: Cross multiply
    54,738.50x = 82,138.49 × 29,780.29
  4. Step 4: Simplify right side
    54,738.50x = 2,446,108,052.36
  5. Step 5: Solve for x
    x = 2,446,108,052.36/54,738.50
  6. Step 6: Final answer
    x = 44,687.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.