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Finding the Fourth Proportional to 32,034.69, 48,017.81 and 16,251.33

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Solution

The fourth proportional to 32,034.69, 48,017.81 and 16,251.33 is: 24,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.69 : 48,017.81 = 16,251.33 : x
  2. Step 2: Convert to fraction form
    32,034.69/48,017.81 = 16,251.33/x
  3. Step 3: Cross multiply
    32,034.69x = 48,017.81 × 16,251.33
  4. Step 4: Simplify right side
    32,034.69x = 780,353,496.88
  5. Step 5: Solve for x
    x = 780,353,496.88/32,034.69
  6. Step 6: Final answer
    x = 24,359.64

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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.