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Finding the Fourth Proportional to 32,884.68, 49,311 and 16,239.24

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Solution

The fourth proportional to 32,884.68, 49,311 and 16,239.24 is: 24,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.68 : 49,311 = 16,239.24 : x
  2. Step 2: Convert to fraction form
    32,884.68/49,311 = 16,239.24/x
  3. Step 3: Cross multiply
    32,884.68x = 49,311 × 16,239.24
  4. Step 4: Simplify right side
    32,884.68x = 800,773,163.64
  5. Step 5: Solve for x
    x = 800,773,163.64/32,884.68
  6. Step 6: Final answer
    x = 24,350.95

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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.