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Finding the Fourth Proportional to 31,910.40, 44,035.20 and 17,764.16

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Solution

The fourth proportional to 31,910.40, 44,035.20 and 17,764.16 is: 24,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.40 : 44,035.20 = 17,764.16 : x
  2. Step 2: Convert to fraction form
    31,910.40/44,035.20 = 17,764.16/x
  3. Step 3: Cross multiply
    31,910.40x = 44,035.20 × 17,764.16
  4. Step 4: Simplify right side
    31,910.40x = 782,248,338.43
  5. Step 5: Solve for x
    x = 782,248,338.43/31,910.40
  6. Step 6: Final answer
    x = 24,513.90

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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.