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Finding the Fourth Proportional to 32,776.20, 49,164.57 and 20,332.44

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Solution

The fourth proportional to 32,776.20, 49,164.57 and 20,332.44 is: 30,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.20 : 49,164.57 = 20,332.44 : x
  2. Step 2: Convert to fraction form
    32,776.20/49,164.57 = 20,332.44/x
  3. Step 3: Cross multiply
    32,776.20x = 49,164.57 × 20,332.44
  4. Step 4: Simplify right side
    32,776.20x = 999,635,669.65
  5. Step 5: Solve for x
    x = 999,635,669.65/32,776.20
  6. Step 6: Final answer
    x = 30,498.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.