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Finding the Fourth Proportional to 81,466.50, 122,199.66 and 22,306.80

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Solution

The fourth proportional to 81,466.50, 122,199.66 and 22,306.80 is: 33,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,466.50 : 122,199.66 = 22,306.80 : x
  2. Step 2: Convert to fraction form
    81,466.50/122,199.66 = 22,306.80/x
  3. Step 3: Cross multiply
    81,466.50x = 122,199.66 × 22,306.80
  4. Step 4: Simplify right side
    81,466.50x = 2,725,883,375.69
  5. Step 5: Solve for x
    x = 2,725,883,375.69/81,466.50
  6. Step 6: Final answer
    x = 33,460.18

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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.