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Finding the Fourth Proportional to 33,815.80, 50,723.70 and 32,433.40

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Solution

The fourth proportional to 33,815.80, 50,723.70 and 32,433.40 is: 48,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.80 : 50,723.70 = 32,433.40 : x
  2. Step 2: Convert to fraction form
    33,815.80/50,723.70 = 32,433.40/x
  3. Step 3: Cross multiply
    33,815.80x = 50,723.70 × 32,433.40
  4. Step 4: Simplify right side
    33,815.80x = 1,645,142,051.58
  5. Step 5: Solve for x
    x = 1,645,142,051.58/33,815.80
  6. Step 6: Final answer
    x = 48,650.10

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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.