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Finding the Fourth Proportional to 30,664.20, 42,340.41 and 24,724.20

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Solution

The fourth proportional to 30,664.20, 42,340.41 and 24,724.20 is: 34,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.20 : 42,340.41 = 24,724.20 : x
  2. Step 2: Convert to fraction form
    30,664.20/42,340.41 = 24,724.20/x
  3. Step 3: Cross multiply
    30,664.20x = 42,340.41 × 24,724.20
  4. Step 4: Simplify right side
    30,664.20x = 1,046,832,764.92
  5. Step 5: Solve for x
    x = 1,046,832,764.92/30,664.20
  6. Step 6: Final answer
    x = 34,138.60

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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.