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Finding the Fourth Proportional to 31,052.98, 42,853.13 and 16,905.88

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Solution

The fourth proportional to 31,052.98, 42,853.13 and 16,905.88 is: 23,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.98 : 42,853.13 = 16,905.88 : x
  2. Step 2: Convert to fraction form
    31,052.98/42,853.13 = 16,905.88/x
  3. Step 3: Cross multiply
    31,052.98x = 42,853.13 × 16,905.88
  4. Step 4: Simplify right side
    31,052.98x = 724,469,873.40
  5. Step 5: Solve for x
    x = 724,469,873.40/31,052.98
  6. Step 6: Final answer
    x = 23,330.12

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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.