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Finding the Fourth Proportional to 31,057.34, 42,859.90 and 16,910.96

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Solution

The fourth proportional to 31,057.34, 42,859.90 and 16,910.96 is: 23,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.34 : 42,859.90 = 16,910.96 : x
  2. Step 2: Convert to fraction form
    31,057.34/42,859.90 = 16,910.96/x
  3. Step 3: Cross multiply
    31,057.34x = 42,859.90 × 16,910.96
  4. Step 4: Simplify right side
    31,057.34x = 724,802,054.50
  5. Step 5: Solve for x
    x = 724,802,054.50/31,057.34
  6. Step 6: Final answer
    x = 23,337.54

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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.