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Finding the Fourth Proportional to 30,724.22, 42,388.02 and 20,119.70

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Solution

The fourth proportional to 30,724.22, 42,388.02 and 20,119.70 is: 27,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.22 : 42,388.02 = 20,119.70 : x
  2. Step 2: Convert to fraction form
    30,724.22/42,388.02 = 20,119.70/x
  3. Step 3: Cross multiply
    30,724.22x = 42,388.02 × 20,119.70
  4. Step 4: Simplify right side
    30,724.22x = 852,834,034.05
  5. Step 5: Solve for x
    x = 852,834,034.05/30,724.22
  6. Step 6: Final answer
    x = 27,757.72

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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.