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Finding the Fourth Proportional to 96,872.80, 145,424.40 and 54,786.40

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Solution

The fourth proportional to 96,872.80, 145,424.40 and 54,786.40 is: 82,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,872.80 : 145,424.40 = 54,786.40 : x
  2. Step 2: Convert to fraction form
    96,872.80/145,424.40 = 54,786.40/x
  3. Step 3: Cross multiply
    96,872.80x = 145,424.40 × 54,786.40
  4. Step 4: Simplify right side
    96,872.80x = 7,967,279,348.16
  5. Step 5: Solve for x
    x = 7,967,279,348.16/96,872.80
  6. Step 6: Final answer
    x = 82,244.75

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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.