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Finding the Fourth Proportional to 54,847.76, 82,216.24 and 21,591.16

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Solution

The fourth proportional to 54,847.76, 82,216.24 and 21,591.16 is: 32,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.76 : 82,216.24 = 21,591.16 : x
  2. Step 2: Convert to fraction form
    54,847.76/82,216.24 = 21,591.16/x
  3. Step 3: Cross multiply
    54,847.76x = 82,216.24 × 21,591.16
  4. Step 4: Simplify right side
    54,847.76x = 1,775,143,793.65
  5. Step 5: Solve for x
    x = 1,775,143,793.65/54,847.76
  6. Step 6: Final answer
    x = 32,364.93

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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.