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Finding the Fourth Proportional to 31,052.80, 42,853.84 and 16,906.56

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Solution

The fourth proportional to 31,052.80, 42,853.84 and 16,906.56 is: 23,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.80 : 42,853.84 = 16,906.56 : x
  2. Step 2: Convert to fraction form
    31,052.80/42,853.84 = 16,906.56/x
  3. Step 3: Cross multiply
    31,052.80x = 42,853.84 × 16,906.56
  4. Step 4: Simplify right side
    31,052.80x = 724,511,017.19
  5. Step 5: Solve for x
    x = 724,511,017.19/31,052.80
  6. Step 6: Final answer
    x = 23,331.58

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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.