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Finding the Fourth Proportional to 32,797.20, 49,198.20 and 9,423.84

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Solution

The fourth proportional to 32,797.20, 49,198.20 and 9,423.84 is: 14,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.20 : 49,198.20 = 9,423.84 : x
  2. Step 2: Convert to fraction form
    32,797.20/49,198.20 = 9,423.84/x
  3. Step 3: Cross multiply
    32,797.20x = 49,198.20 × 9,423.84
  4. Step 4: Simplify right side
    32,797.20x = 463,635,965.09
  5. Step 5: Solve for x
    x = 463,635,965.09/32,797.20
  6. Step 6: Final answer
    x = 14,136.45

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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.