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Finding the Fourth Proportional to 30,105.76, 41,504.88 and 20,034.64

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Solution

The fourth proportional to 30,105.76, 41,504.88 and 20,034.64 is: 27,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.76 : 41,504.88 = 20,034.64 : x
  2. Step 2: Convert to fraction form
    30,105.76/41,504.88 = 20,034.64/x
  3. Step 3: Cross multiply
    30,105.76x = 41,504.88 × 20,034.64
  4. Step 4: Simplify right side
    30,105.76x = 831,535,329.04
  5. Step 5: Solve for x
    x = 831,535,329.04/30,105.76
  6. Step 6: Final answer
    x = 27,620.47

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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.