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Finding the Fourth Proportional to 32,120.30, 44,327.25 and 17,972.84

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Solution

The fourth proportional to 32,120.30, 44,327.25 and 17,972.84 is: 24,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.30 : 44,327.25 = 17,972.84 : x
  2. Step 2: Convert to fraction form
    32,120.30/44,327.25 = 17,972.84/x
  3. Step 3: Cross multiply
    32,120.30x = 44,327.25 × 17,972.84
  4. Step 4: Simplify right side
    32,120.30x = 796,686,571.89
  5. Step 5: Solve for x
    x = 796,686,571.89/32,120.30
  6. Step 6: Final answer
    x = 24,803.21

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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.