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Finding the Fourth Proportional to 54,855.20, 82,282.80 and 48,864.80

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Solution

The fourth proportional to 54,855.20, 82,282.80 and 48,864.80 is: 73,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.20 : 82,282.80 = 48,864.80 : x
  2. Step 2: Convert to fraction form
    54,855.20/82,282.80 = 48,864.80/x
  3. Step 3: Cross multiply
    54,855.20x = 82,282.80 × 48,864.80
  4. Step 4: Simplify right side
    54,855.20x = 4,020,732,565.44
  5. Step 5: Solve for x
    x = 4,020,732,565.44/54,855.20
  6. Step 6: Final answer
    x = 73,297.20

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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.