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Finding the Fourth Proportional to 81,722.96, 122,556 and 29,124.80

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Solution

The fourth proportional to 81,722.96, 122,556 and 29,124.80 is: 43,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.96 : 122,556 = 29,124.80 : x
  2. Step 2: Convert to fraction form
    81,722.96/122,556 = 29,124.80/x
  3. Step 3: Cross multiply
    81,722.96x = 122,556 × 29,124.80
  4. Step 4: Simplify right side
    81,722.96x = 3,569,418,988.80
  5. Step 5: Solve for x
    x = 3,569,418,988.80/81,722.96
  6. Step 6: Final answer
    x = 43,677.06

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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.