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Finding the Fourth Proportional to 32,114.37, 44,317.95 and 17,967.21

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Solution

The fourth proportional to 32,114.37, 44,317.95 and 17,967.21 is: 24,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.37 : 44,317.95 = 17,967.21 : x
  2. Step 2: Convert to fraction form
    32,114.37/44,317.95 = 17,967.21/x
  3. Step 3: Cross multiply
    32,114.37x = 44,317.95 × 17,967.21
  4. Step 4: Simplify right side
    32,114.37x = 796,269,914.42
  5. Step 5: Solve for x
    x = 796,269,914.42/32,114.37
  6. Step 6: Final answer
    x = 24,794.82

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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.