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Finding the Fourth Proportional to 32,815.20, 49,189.20 and 16,149.60

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Solution

The fourth proportional to 32,815.20, 49,189.20 and 16,149.60 is: 24,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.20 : 49,189.20 = 16,149.60 : x
  2. Step 2: Convert to fraction form
    32,815.20/49,189.20 = 16,149.60/x
  3. Step 3: Cross multiply
    32,815.20x = 49,189.20 × 16,149.60
  4. Step 4: Simplify right side
    32,815.20x = 794,385,904.32
  5. Step 5: Solve for x
    x = 794,385,904.32/32,815.20
  6. Step 6: Final answer
    x = 24,207.86

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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.