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Finding the Fourth Proportional to 31,057.94, 42,859.41 and 16,910.54

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Solution

The fourth proportional to 31,057.94, 42,859.41 and 16,910.54 is: 23,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.94 : 42,859.41 = 16,910.54 : x
  2. Step 2: Convert to fraction form
    31,057.94/42,859.41 = 16,910.54/x
  3. Step 3: Cross multiply
    31,057.94x = 42,859.41 × 16,910.54
  4. Step 4: Simplify right side
    31,057.94x = 724,775,767.18
  5. Step 5: Solve for x
    x = 724,775,767.18/31,057.94
  6. Step 6: Final answer
    x = 23,336.25

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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.