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Finding the Fourth Proportional to 32,114.40, 44,317.92 and 17,967.25

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Solution

The fourth proportional to 32,114.40, 44,317.92 and 17,967.25 is: 24,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.40 : 44,317.92 = 17,967.25 : x
  2. Step 2: Convert to fraction form
    32,114.40/44,317.92 = 17,967.25/x
  3. Step 3: Cross multiply
    32,114.40x = 44,317.92 × 17,967.25
  4. Step 4: Simplify right side
    32,114.40x = 796,271,148.12
  5. Step 5: Solve for x
    x = 796,271,148.12/32,114.40
  6. Step 6: Final answer
    x = 24,794.83

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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.