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Finding the Fourth Proportional to 32,115.68, 44,320.44 and 17,968.40

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Solution

The fourth proportional to 32,115.68, 44,320.44 and 17,968.40 is: 24,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.68 : 44,320.44 = 17,968.40 : x
  2. Step 2: Convert to fraction form
    32,115.68/44,320.44 = 17,968.40/x
  3. Step 3: Cross multiply
    32,115.68x = 44,320.44 × 17,968.40
  4. Step 4: Simplify right side
    32,115.68x = 796,367,394.10
  5. Step 5: Solve for x
    x = 796,367,394.10/32,115.68
  6. Step 6: Final answer
    x = 24,796.84

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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.