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Finding the Fourth Proportional to 54,830.80, 82,246.20 and 27,182.80

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Solution

The fourth proportional to 54,830.80, 82,246.20 and 27,182.80 is: 40,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830.80 : 82,246.20 = 27,182.80 : x
  2. Step 2: Convert to fraction form
    54,830.80/82,246.20 = 27,182.80/x
  3. Step 3: Cross multiply
    54,830.80x = 82,246.20 × 27,182.80
  4. Step 4: Simplify right side
    54,830.80x = 2,235,682,005.36
  5. Step 5: Solve for x
    x = 2,235,682,005.36/54,830.80
  6. Step 6: Final answer
    x = 40,774.20

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1.5x scale

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.