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Finding the Fourth Proportional to 32,115.69, 44,314.70 and 17,965.80

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Solution

The fourth proportional to 32,115.69, 44,314.70 and 17,965.80 is: 24,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.69 : 44,314.70 = 17,965.80 : x
  2. Step 2: Convert to fraction form
    32,115.69/44,314.70 = 17,965.80/x
  3. Step 3: Cross multiply
    32,115.69x = 44,314.70 × 17,965.80
  4. Step 4: Simplify right side
    32,115.69x = 796,148,947.43
  5. Step 5: Solve for x
    x = 796,148,947.43/32,115.69
  6. Step 6: Final answer
    x = 24,790.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.