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Finding the Fourth Proportional to 31,057.65, 42,858.27 and 16,910.46

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Solution

The fourth proportional to 31,057.65, 42,858.27 and 16,910.46 is: 23,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.65 : 42,858.27 = 16,910.46 : x
  2. Step 2: Convert to fraction form
    31,057.65/42,858.27 = 16,910.46/x
  3. Step 3: Cross multiply
    31,057.65x = 42,858.27 × 16,910.46
  4. Step 4: Simplify right side
    31,057.65x = 724,753,060.50
  5. Step 5: Solve for x
    x = 724,753,060.50/31,057.65
  6. Step 6: Final answer
    x = 23,335.73

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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.