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Finding the Fourth Proportional to 31,813.80, 47,740.20 and 13,102.80

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Solution

The fourth proportional to 31,813.80, 47,740.20 and 13,102.80 is: 19,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.80 : 47,740.20 = 13,102.80 : x
  2. Step 2: Convert to fraction form
    31,813.80/47,740.20 = 13,102.80/x
  3. Step 3: Cross multiply
    31,813.80x = 47,740.20 × 13,102.80
  4. Step 4: Simplify right side
    31,813.80x = 625,530,292.56
  5. Step 5: Solve for x
    x = 625,530,292.56/31,813.80
  6. Step 6: Final answer
    x = 19,662.23

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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.