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Finding the Fourth Proportional to 32,964.80, 49,414.80 and 16,327.40

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Solution

The fourth proportional to 32,964.80, 49,414.80 and 16,327.40 is: 24,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.80 : 49,414.80 = 16,327.40 : x
  2. Step 2: Convert to fraction form
    32,964.80/49,414.80 = 16,327.40/x
  3. Step 3: Cross multiply
    32,964.80x = 49,414.80 × 16,327.40
  4. Step 4: Simplify right side
    32,964.80x = 806,815,205.52
  5. Step 5: Solve for x
    x = 806,815,205.52/32,964.80
  6. Step 6: Final answer
    x = 24,475.05

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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.