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Finding the Fourth Proportional to 31,914.42, 44,043.93 and 17,768.22

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Solution

The fourth proportional to 31,914.42, 44,043.93 and 17,768.22 is: 24,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.42 : 44,043.93 = 17,768.22 : x
  2. Step 2: Convert to fraction form
    31,914.42/44,043.93 = 17,768.22/x
  3. Step 3: Cross multiply
    31,914.42x = 44,043.93 × 17,768.22
  4. Step 4: Simplify right side
    31,914.42x = 782,582,237.90
  5. Step 5: Solve for x
    x = 782,582,237.90/31,914.42
  6. Step 6: Final answer
    x = 24,521.27

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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.