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Finding the Fourth Proportional to 31,690.80, 47,536.20 and 16,138.80

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Solution

The fourth proportional to 31,690.80, 47,536.20 and 16,138.80 is: 24,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.80 : 47,536.20 = 16,138.80 : x
  2. Step 2: Convert to fraction form
    31,690.80/47,536.20 = 16,138.80/x
  3. Step 3: Cross multiply
    31,690.80x = 47,536.20 × 16,138.80
  4. Step 4: Simplify right side
    31,690.80x = 767,177,224.56
  5. Step 5: Solve for x
    x = 767,177,224.56/31,690.80
  6. Step 6: Final answer
    x = 24,208.20

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Why These Related Problems?

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