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Finding the Fourth Proportional to 32,116.41, 44,320.68 and 17,969.25

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Solution

The fourth proportional to 32,116.41, 44,320.68 and 17,969.25 is: 24,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.41 : 44,320.68 = 17,969.25 : x
  2. Step 2: Convert to fraction form
    32,116.41/44,320.68 = 17,969.25/x
  3. Step 3: Cross multiply
    32,116.41x = 44,320.68 × 17,969.25
  4. Step 4: Simplify right side
    32,116.41x = 796,409,379.09
  5. Step 5: Solve for x
    x = 796,409,379.09/32,116.41
  6. Step 6: Final answer
    x = 24,797.58

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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.