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Finding the Fourth Proportional to 32,841.40, 49,229.70 and 16,187.80

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Solution

The fourth proportional to 32,841.40, 49,229.70 and 16,187.80 is: 24,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.40 : 49,229.70 = 16,187.80 : x
  2. Step 2: Convert to fraction form
    32,841.40/49,229.70 = 16,187.80/x
  3. Step 3: Cross multiply
    32,841.40x = 49,229.70 × 16,187.80
  4. Step 4: Simplify right side
    32,841.40x = 796,920,537.66
  5. Step 5: Solve for x
    x = 796,920,537.66/32,841.40
  6. Step 6: Final answer
    x = 24,265.73

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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.