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Finding the Fourth Proportional to 54,482.81, 81,847.24 and 32,310.73

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Solution

The fourth proportional to 54,482.81, 81,847.24 and 32,310.73 is: 48,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482.81 : 81,847.24 = 32,310.73 : x
  2. Step 2: Convert to fraction form
    54,482.81/81,847.24 = 32,310.73/x
  3. Step 3: Cross multiply
    54,482.81x = 81,847.24 × 32,310.73
  4. Step 4: Simplify right side
    54,482.81x = 2,644,543,726.91
  5. Step 5: Solve for x
    x = 2,644,543,726.91/54,482.81
  6. Step 6: Final answer
    x = 48,539.05

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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.