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Finding the Fourth Proportional to 30,150.80, 41,609.22 and 22,583.78

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Solution

The fourth proportional to 30,150.80, 41,609.22 and 22,583.78 is: 31,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150.80 : 41,609.22 = 22,583.78 : x
  2. Step 2: Convert to fraction form
    30,150.80/41,609.22 = 22,583.78/x
  3. Step 3: Cross multiply
    30,150.80x = 41,609.22 × 22,583.78
  4. Step 4: Simplify right side
    30,150.80x = 939,693,470.45
  5. Step 5: Solve for x
    x = 939,693,470.45/30,150.80
  6. Step 6: Final answer
    x = 31,166.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.