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Finding the Fourth Proportional to 31,806.10, 47,722.37 and 16,002.70

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Solution

The fourth proportional to 31,806.10, 47,722.37 and 16,002.70 is: 24,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.10 : 47,722.37 = 16,002.70 : x
  2. Step 2: Convert to fraction form
    31,806.10/47,722.37 = 16,002.70/x
  3. Step 3: Cross multiply
    31,806.10x = 47,722.37 × 16,002.70
  4. Step 4: Simplify right side
    31,806.10x = 763,686,571.08
  5. Step 5: Solve for x
    x = 763,686,571.08/31,806.10
  6. Step 6: Final answer
    x = 24,010.69

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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.