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Finding the Fourth Proportional to 32,843.28, 49,310.54 and 22,824.42

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Solution

The fourth proportional to 32,843.28, 49,310.54 and 22,824.42 is: 34,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.28 : 49,310.54 = 22,824.42 : x
  2. Step 2: Convert to fraction form
    32,843.28/49,310.54 = 22,824.42/x
  3. Step 3: Cross multiply
    32,843.28x = 49,310.54 × 22,824.42
  4. Step 4: Simplify right side
    32,843.28x = 1,125,484,475.39
  5. Step 5: Solve for x
    x = 1,125,484,475.39/32,843.28
  6. Step 6: Final answer
    x = 34,268.33

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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.