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Finding the Fourth Proportional to 54,652.20, 81,978.30 and 32,533.80

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Solution

The fourth proportional to 54,652.20, 81,978.30 and 32,533.80 is: 48,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.20 : 81,978.30 = 32,533.80 : x
  2. Step 2: Convert to fraction form
    54,652.20/81,978.30 = 32,533.80/x
  3. Step 3: Cross multiply
    54,652.20x = 81,978.30 × 32,533.80
  4. Step 4: Simplify right side
    54,652.20x = 2,667,065,616.54
  5. Step 5: Solve for x
    x = 2,667,065,616.54/54,652.20
  6. Step 6: Final answer
    x = 48,800.70

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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.