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Finding the Fourth Proportional to 54,977.80, 82,466.70 and 32,816.20

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Solution

The fourth proportional to 54,977.80, 82,466.70 and 32,816.20 is: 49,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,977.80 : 82,466.70 = 32,816.20 : x
  2. Step 2: Convert to fraction form
    54,977.80/82,466.70 = 32,816.20/x
  3. Step 3: Cross multiply
    54,977.80x = 82,466.70 × 32,816.20
  4. Step 4: Simplify right side
    54,977.80x = 2,706,243,720.54
  5. Step 5: Solve for x
    x = 2,706,243,720.54/54,977.80
  6. Step 6: Final answer
    x = 49,224.30

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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.