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Finding the Fourth Proportional to 53,642.97, 80,471.98 and 16,198.80

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Solution

The fourth proportional to 53,642.97, 80,471.98 and 16,198.80 is: 24,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.97 : 80,471.98 = 16,198.80 : x
  2. Step 2: Convert to fraction form
    53,642.97/80,471.98 = 16,198.80/x
  3. Step 3: Cross multiply
    53,642.97x = 80,471.98 × 16,198.80
  4. Step 4: Simplify right side
    53,642.97x = 1,303,549,469.13
  5. Step 5: Solve for x
    x = 1,303,549,469.13/53,642.97
  6. Step 6: Final answer
    x = 24,300.47

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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.