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Finding the Fourth Proportional to 55,198.80, 82,798.20 and 13,645.80

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Solution

The fourth proportional to 55,198.80, 82,798.20 and 13,645.80 is: 20,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.80 : 82,798.20 = 13,645.80 : x
  2. Step 2: Convert to fraction form
    55,198.80/82,798.20 = 13,645.80/x
  3. Step 3: Cross multiply
    55,198.80x = 82,798.20 × 13,645.80
  4. Step 4: Simplify right side
    55,198.80x = 1,129,847,677.56
  5. Step 5: Solve for x
    x = 1,129,847,677.56/55,198.80
  6. Step 6: Final answer
    x = 20,468.70

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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.