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Finding the Fourth Proportional to 33,138.60, 49,724.10 and 15,605.40

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Solution

The fourth proportional to 33,138.60, 49,724.10 and 15,605.40 is: 23,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.60 : 49,724.10 = 15,605.40 : x
  2. Step 2: Convert to fraction form
    33,138.60/49,724.10 = 15,605.40/x
  3. Step 3: Cross multiply
    33,138.60x = 49,724.10 × 15,605.40
  4. Step 4: Simplify right side
    33,138.60x = 775,964,470.14
  5. Step 5: Solve for x
    x = 775,964,470.14/33,138.60
  6. Step 6: Final answer
    x = 23,415.73

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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.