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Finding the Fourth Proportional to 31,057.35, 42,859.32 and 16,910.31

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Solution

The fourth proportional to 31,057.35, 42,859.32 and 16,910.31 is: 23,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.35 : 42,859.32 = 16,910.31 : x
  2. Step 2: Convert to fraction form
    31,057.35/42,859.32 = 16,910.31/x
  3. Step 3: Cross multiply
    31,057.35x = 42,859.32 × 16,910.31
  4. Step 4: Simplify right side
    31,057.35x = 724,764,387.59
  5. Step 5: Solve for x
    x = 724,764,387.59/31,057.35
  6. Step 6: Final answer
    x = 23,336.32

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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.