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Finding the Fourth Proportional to 31,755.80, 47,633.70 and 16,009.40

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Solution

The fourth proportional to 31,755.80, 47,633.70 and 16,009.40 is: 24,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.80 : 47,633.70 = 16,009.40 : x
  2. Step 2: Convert to fraction form
    31,755.80/47,633.70 = 16,009.40/x
  3. Step 3: Cross multiply
    31,755.80x = 47,633.70 × 16,009.40
  4. Step 4: Simplify right side
    31,755.80x = 762,586,956.78
  5. Step 5: Solve for x
    x = 762,586,956.78/31,755.80
  6. Step 6: Final answer
    x = 24,014.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.