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Finding the Fourth Proportional to 81,806.60, 122,666.70 and 29,217.80

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Solution

The fourth proportional to 81,806.60, 122,666.70 and 29,217.80 is: 43,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.60 : 122,666.70 = 29,217.80 : x
  2. Step 2: Convert to fraction form
    81,806.60/122,666.70 = 29,217.80/x
  3. Step 3: Cross multiply
    81,806.60x = 122,666.70 × 29,217.80
  4. Step 4: Simplify right side
    81,806.60x = 3,584,051,107.26
  5. Step 5: Solve for x
    x = 3,584,051,107.26/81,806.60
  6. Step 6: Final answer
    x = 43,811.27

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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.