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Finding the Fourth Proportional to 32,843.40, 49,232.70 and 16,189.80

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Solution

The fourth proportional to 32,843.40, 49,232.70 and 16,189.80 is: 24,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.40 : 49,232.70 = 16,189.80 : x
  2. Step 2: Convert to fraction form
    32,843.40/49,232.70 = 16,189.80/x
  3. Step 3: Cross multiply
    32,843.40x = 49,232.70 × 16,189.80
  4. Step 4: Simplify right side
    32,843.40x = 797,067,566.46
  5. Step 5: Solve for x
    x = 797,067,566.46/32,843.40
  6. Step 6: Final answer
    x = 24,268.73

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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.